Internet-Draft Composite ML-KEM April 2025
Ounsworth, et al. Expires 3 October 2025 [Page]
Workgroup:
LAMPS
Internet-Draft:
draft-ietf-lamps-pq-composite-kem-latest
Published:
Intended Status:
Standards Track
Expires:
Authors:
M. Ounsworth
Entrust
J. Gray
Entrust
M. Pala
OpenCA Labs
J. Klaussner
Bundesdruckerei GmbH
S. Fluhrer
Cisco Systems

Composite ML-KEM for use in X.509 Public Key Infrastructure and CMS

Abstract

This document defines combinations of ML-KEM [FIPS.203] in hybrid with traditional algorithms RSA-OAEP, ECDH, X25519, and X448. These combinations are tailored to meet security best practices and regulatory requirements. Composite ML-KEM is applicable in any application that uses X.509, PKIX, and CMS data structures and protocols that accept ML-KEM, but where the operator wants extra protection against breaks or catastrophic bugs in ML-KEM. For use within CMS, this document is intended to be coupled with the CMS KEMRecipientInfo mechanism in [RFC9629].

About This Document

This note is to be removed before publishing as an RFC.

The latest revision of this draft can be found at https://lamps-wg.github.io/draft-composite-kem/draft-ietf-lamps-pq-composite-kem.html. Status information for this document may be found at https://datatracker.ietf.org/doc/draft-ietf-lamps-pq-composite-kem/.

Discussion of this document takes place on the LAMPS Working Group mailing list (mailto:spams@ietf.org), which is archived at https://datatracker.ietf.org/wg/lamps/about/. Subscribe at https://www.ietf.org/mailman/listinfo/spams/.

Source for this draft and an issue tracker can be found at https://github.com/lamps-wg/draft-composite-kem.

Status of This Memo

This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79.

Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet-Drafts is at https://datatracker.ietf.org/drafts/current/.

Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress."

This Internet-Draft will expire on 3 October 2025.

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Table of Contents

1. Changes in version -07

Interop-affecting changes:

Editorial changes:

Still to do in a future version:

2. Introduction

The advent of quantum computing poses a significant threat to current cryptographic systems. Traditional cryptographic algorithms such as RSA-OAEP, ECDH and their elliptic curve variants are vulnerable to quantum attacks. During the transition to post-quantum cryptography (PQC), there is considerable uncertainty regarding the robustness of both existing and new cryptographic algorithms. While we can no longer fully trust traditional cryptography, we also cannot immediately place complete trust in post-quantum replacements until they have undergone extensive scrutiny and real-world testing to uncover and rectify potential implementation flaws.

Unlike previous migrations between cryptographic algorithms, the decision of when to migrate and which algorithms to adopt is far from straightforward. Even after the migration period, it may be advantageous for an entity's cryptographic identity to incorporate multiple public-key algorithms to enhance security.

Cautious implementers may opt to combine cryptographic algorithms in such a way that an attacker would need to break all of them simultaneously to compromise the protected data. These mechanisms are referred to as Post-Quantum/Traditional (PQ/T) Hybrids [I-D.ietf-pquip-pqt-hybrid-terminology].

Certain jurisdictions are already recommending or mandating that PQC lattice schemes be used exclusively within a PQ/T hybrid framework. The use of Composite scheme provides a straightforward implementation of hybrid solutions compatible with (and advocated by) some governments and cybersecurity agencies [BSI2021].

In addition, [BSI2021] specifically references the composite specification as a concrete example of hybrid X.509 certificates.

A more recent example is [ANSSI2024], a document co-authored by French Cybersecurity Agency (ANSSI), Federal Office for Information Security (BSI), Netherlands National Communications Security Agency (NLNCSA), and Swedish National Communications Security Authority, Swedish Armed Forces which makes the following statement:

This specification represents the straightforward implementation of the hybrid solutions called for by European cyber security agencies.

PQ/T Hybrid cryptography can, in general, provide solutions to two migration problems:

This document defines a specific instantiation of the PQ/T Hybrid paradigm called "composite" where multiple cryptographic algorithms are combined to form a single key encapsulation mechanism (KEM) key and ciphertext such that they can be treated as a single atomic algorithm at the protocol level. Composite algorithms address algorithm strength uncertainty because the composite algorithm remains strong so long as one of its components remains strong. Concrete instantiations of composite ML-KEM algorithms are provided based on ML-KEM, RSA-OAEP and ECDH. Backwards compatibility is not directly covered in this document, but is the subject of Appendix C.2.

Composite ML-KEM is intended for general applicability anywhere that key establishment or enveloped content encryption is used within PKIX or CMS structures.

2.1. Conventions and Terminology

The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here. These words may also appear in this document in lower case as plain English words, absent their normative meanings.

This document is consistent with all terminology from [I-D.ietf-pquip-pqt-hybrid-terminology]. In addition, the following terms are used in this document:

ALGORITHM: The usage of the term "algorithm" within this document generally refers to any function which has a registered Object Identifier (OID) for use within an ASN.1 AlgorithmIdentifier. This loosely, but not precisely, aligns with the definitions of "cryptographic algorithm" and "cryptographic scheme" given in [I-D.ietf-pquip-pqt-hybrid-terminology].

COMBINER: A combiner specifies how multiple shared secrets are combined into a single shared secret.

DER: Distinguished Encoding Rules as defined in [X.690].

KEM: A key encapsulation mechanism as defined in Section 3.

PKI: Public Key Infrastructure, as defined in [RFC5280].

SHARED SECRET KEY: A value established between two communicating parties for use as cryptographic key material suitable for direct use by symmetric cryptographic algorithms. This document is concerned with shared secrets established via public key cryptographic operations.

2.2. Composite Design Philosophy

[I-D.ietf-pquip-pqt-hybrid-terminology] defines composites as:

  • Composite Cryptographic Element: A cryptographic element that incorporates multiple component cryptographic elements of the same type in a multi-algorithm scheme.

Composite keys, as defined here, follow this definition and should be regarded as a single key that performs a single cryptographic operation such as key generation, signing, verifying, encapsulating, or decapsulating -- using its internal sequence of component keys as if they form a single key. This generally means that the complexity of combining algorithms can and should be handled by the cryptographic library or cryptographic module, and the single composite public key, private key, ciphertext and signature can be carried in existing fields in protocols such as PKCS#10 [RFC2986], CMP [RFC4210], X.509 [RFC5280], CMS [RFC5652], and the Trust Anchor Format [RFC5914]. In this way, composites achieve "protocol backwards-compatibility" in that they will drop cleanly into any protocol that accepts an analogous single-algorithm cryptographic scheme without requiring any modification of the protocol to handle multiple algorithms.

3. Overview of the Composite ML-KEM Scheme

We borrow here the definition of a key encapsulation mechanism (KEM) from [I-D.ietf-tls-hybrid-design], in which a KEM is a cryptographic primitive that consists of three algorithms:

We also borrow the following algorithms from [RFC9180], which deal with encoding and decoding of KEM public key values.

We define the following algorithms which are used to serialize and deseralize the CompositeCiphertextValue

The KEM interface defined above differs from both traditional key transport mechanism (for example for use with KeyTransRecipientInfo defined in [RFC5652]), and key agreement (for example for use with KeyAgreeRecipientInfo defined in [RFC5652]).

The KEM interface was chosen as the interface for a composite key establishment because it allows for arbitrary combinations of component algorithm types since both key transport and key agreement mechanisms can be promoted into KEMs as described in Section 3.1 and Section 3.2 below.

This specification uses the Post-Quantum KEM ML-KEM as specified in [FIPS.203] and [I-D.ietf-lamps-kyber-certificates]. For Traditional KEMs, this document uses the RSA-OAEP algorithm defined in [RFC8017], the Elliptic Curve Diffie-Hellman key agreement schemes ECDH defined in section 5.7.1.2 of [SP.800-56Ar3], and X25519 / X448 which are defined in [RFC8410]. A combiner function is used to combine the two component shared secrets into a single shared secret.

3.1. Promotion of RSA-OAEP into a KEM

The RSA Optimal Asymmetric Encryption Padding (OAEP), as defined in section 7.1 of [RFC8017] is a public key encryption algorithm used to transport key material from a sender to a receiver. It is promoted into a KEM by having the sender generate a random 256 bit secret and encrypt it.

Note that, at least at the time of writing, the algorithm RSAOAEPKEM is not defined as a standalone algorithm within PKIX standards and it does not have an assigned algorithm OID, so it cannot be used directly with CMS KEMRecipientInfo [RFC9629]; it is merely a building block for the composite algorithm.

RSAOAEPKEM.Encap(pkR):
  shared_secret = SecureRandom(ss_len)
  enc = RSAES-OAEP-ENCRYPT(pkR, shared_secret)

  return shared_secret, enc

Note that the OAEP label L is left to its default value, which is the empty string as per [RFC8017]. The shared secret output by the overall Composite ML-KEM already binds a composite domain separator, so there is no need to also utilize the component domain separators.

The value of ss_len as well as the RSA-OAEP parameters used within this specification can be found in Section 7.4.

Decap(sk, ct) -> ss is accomplished in the analogous way.

RSAOAEPKEM.Decap(skR, enc):
  shared_secret = RSAES-OAEP-DECRYPT(skR, enc)

  return shared_secret

3.2. Promotion of ECDH into a KEM

An elliptic curve Diffie-Hellman key agreement is promoted into a KEM Encap(pk) -> (ss, ct) using a simplified version of the DHKEM definition from [RFC9180]; simplified to remove the context-binding labels since the shared secret output by the overall Composite ML-KEM already binds a composite domain separator, so there is no need to also utilize labels within DHKEM.

Note that, at least at the time of writing, the algorithm DHKEM is not defined as a standalone algorithm within PKIX standards and it does not have an assigned algorithm OID, so it cannot be used directly with CMS KEMRecipientInfo [RFC9629]; it is merely a building block for the composite algorithm.

DHKEM.Encap(pkR):
  skE, pkE = GenerateKeyPair()
  shared_secret = DH(skE, pkR)
  enc = SerializePublicKey(pkE)

  return shared_secret, enc

Decap(sk, ct) -> ss is accomplished in the analogous way.

DHKEM.Decap(skR, enc):
  pkE = DeserializePublicKey(enc)
  shared_secret = DH(skR, pkE)

  return shared_secret

This construction applies for all variants of elliptic curve Diffie-Hellman used in this specification: ECDH, X25519, and X448.

The simplifications from the DHKEM definition in [RFC9180] is that since the ciphertext and receiver's public key are included explicitly in the Composite ML-KEM combiner, there is no need to construct the kem_context object, and since a domain separator is included explicitly in the Composite ML-KEM combiner there is no need to perform the labeled steps of ExtractAndExpand().

4. Composite ML-KEM Functions

This section describes the composite ML-KEM functions needed to instantiate the KEM API in Section 3.

4.1. Key Generation

To generate a new keypair for Composite schemes, the KeyGen() -> (pk, sk) function is used. The KeyGen() function calls the two key generation functions of the component algorithms for the Composite keypair in no particular order. Multi-process or multi-threaded applications might choose to execute the key generation functions in parallel for better key generation performance.

The following process is used to generate composite keypair values:

KeyGen() -> (pk, sk)

Explicit Inputs:
     None

Implicit Input:
  ML-KEM     A placeholder for the specific ML-KEM algorithm and
             parameter set to use, for example, could be "ML-KEM-65".

  Trad       A placeholder for the specific traditional algorithm and
             parameter set to use, for example "RSA-OAEP"
             or "X25519".

Output:
  (pk, sk)  The composite keypair.

Key Generation Process:

  1. Generate component keys

    (mlkemPK, mlkemSK) = ML-KEM.KeyGen()
    (tradPK, tradSK)   = Trad.KeyGen()

  2. Check for component key gen failure
    if NOT (mlkemPK, mlkemSK) or NOT (tradPK, tradSK):
      output "Key generation error"

  3. Output the composite public and private keys

    pk = (mlkemPK, tradPK)
    sk = (mlkemSK, tradSK)
    return (pk, sk)
Figure 1: Composite KeyGen(pk, sk)

In order to ensure fresh keys, the key generation functions MUST be executed for both component algorithms. Compliant parties MUST NOT use or import component keys that are used in other contexts, combinations, or by themselves as keys for standalone algorithm use.

Note that in step 2 above, both component key generation processes are invoked, and no indication is given about which one failed. This SHOULD be done in a timing-invariant way to prevent side-channel attackers from learning which component algorithm failed.

4.2. Encapsulation

The Encap(pk) of a Composite ML-KEM algorithm is designed to behave exactly the same as ML-KEM.Encaps(ek) defined in Algorithm 20 in Section 7.2 of [FIPS.203]. Specifically, Composite-ML-KEM.Encap(pk) produces a 256-bit shared secret key that can be used directly with any symmetric-key cryptographic algorithm. In this way, Composite ML-KEM can be used as a direct drop-in replacement anywhere that ML-KEM is used.

Composite-ML-KEM.Encap(pk) -> (ss, ct)

Explicit Input:

  pk          Composite public key consisting of encryption public keys
              for each component.

Implicit inputs:

  ML-KEM   A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example, could be "ML-KEM-768".

  Trad     A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example "RSA-OAEP"
           or "X25519".

  KDF      The KDF specified for the given Composite ML-KEM algorithm.
           See algorithm specifications below.

  Domain   Domain separator value for binding the ciphertext to the
           Composite OID. See section on Domain Separators below.

Output:

  ss      The shared secret key, a 256-bit key suitable for use with
          symmetric cryptographic algorithms.

  ct      The ciphertext, a byte string.

Encap Process:

  1. Separate the public keys.

      (mlkemPK, tradPK) = pk

  2.  Perform the respective component Encap operations according to
      their algorithm specifications.

      (mlkemCT, mlkemSS) = MLKEM.Encaps(mlkemPK)
      (tradCT, tradSS) = TradKEM.Encap(tradPK)

  3. If either ML-KEM.Encaps() or TradKEM.Encap() return an error,
     then this process must return an error.

      if NOT (mlkemCT, mlkemSS) or NOT (tradCT, tradSS):
        output "Encapsulation error"

  4. Encode the ciphertext

      ct = mlkemCT || tradCT

  5. Combine the KEM secrets and additional context to yield the composite shared secret
      if KDF is "SHA3-256"
        ss = SHA3-256(mlkemSS || tradSS || tradCT || tradPK || Domain)
      else if KDF is "HKDF"
        ss = HKDF-Extract(salt="", IKM=mlkemSS || tradSS || tradCT || tradPK || Domain)
          # Note: salt is the empty string (0 octets), which will internally be mapped
          # to the zero vector `0x00..00` of the correct input size for the underlying
          # hash function as per [RFC 5869].

  6. Output composite shared secret key and ciphertext

     return (ss, ct)
Figure 2: Composite-ML-KEM.Encap(pk)

The specific values for KDF are defined per Composite ML-KEM algorithm in Table 2 and the specific values for Domain are defined per Composite ML-KEM algorithm in Section 7.

4.3. Decapsulation

The Decap(sk, ct) -> ss of a Composite ML-KEM algorithm is designed to behave exactly the same as ML-KEM.Decaps(dk, c) defined in Algorithm 21 in Section 7.3 of [FIPS.203]. Specifically, Composite-ML-KEM.Decap(sk, ct) produces a 256-bit shared secret key that can be used directly with any symmetric-key cryptographic algorithm. In this way, Composite ML-KEM can be used as a direct drop-in replacement anywhere that ML-KEM is used.

Composite-ML-KEM.Decap(sk, ct) -> ss

Explicit Input:

  sk    Composite private key consisting of decryption private keys for
        each component.

  ct      The ciphertext, a byte string.

Implicit inputs:

  ML-KEM   A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example, could be "ML-KEM-768".

  Trad     A placeholder for the specific traditional algorithm and
           parameter set to use, for example "RSA-OAEP"
           or "X25519".

  KDF      The KDF specified for the given Composite ML-KEM algorithm.
           See algorithm specifications below.

  Domain   Domain separator value for binding the ciphertext to the
           Composite OID. See section on Domain Separators below.

Output:

  ss      The shared secret key, a 256-bit key suitable for use with
          symmetric cryptographic algorithms.

Decap Process:

  1. Separate the private keys

      (mlkemSK, tradSK) = sk

  2. Parse the ciphertext

      (mlkemCT, tradCT) = ct

  3.  Perform the respective component Encap operations according to
      their algorithm specifications.

      mlkemSS = MLKEM.Decaps(mlkemSK, mlkemCT)
      tradSS  = TradKEM.Decap(tradSK, tradCT)

  4. If either ML-KEM.Decaps() or TradKEM.Decap() return an error,
     then this process must return an error.

      if NOT mlkemSS or NOT tradSS:
        output "Encapsulation error"

  5. Combine the KEM secrets and additional context to yield the composite shared secret

      if KDF is "SHA3-256"
        ss = SHA3-256(mlkemSS || tradSS || tradCT || tradPK || Domain)
      else if KDF is "HKDF"
        ss = HKDF-Extract(salt="", IKM=mlkemSS || tradSS || tradCT || tradPK || Domain)
          # Note: salt is the empty string (0 octets), which will internally be mapped
          # to the zero vector `0x00..00` of the correct input size for the underlying
          # hash function as per [RFC 5869].

  6. Output composite shared secret key

     return ss
Figure 3: Composite-ML-KEM.Decap(sk, ct)

It is possible to use component private keys stored in separate software or hardware keystores. Variations in the process to accommodate particular private key storage mechanisms are considered to be conformant to this document so long as it produces the same output and error handling as the process sketched above.

In order to properly achieve its security properties, the KEM combiner requires that all inputs are fixed-length. Since each Composite ML-KEM algorithm fully specifies its component algorithms, including key sizes, all inputs should be fixed-length in non-error scenarios, however some implementations may need to perform additional checking to handle certain error conditions. In particular, the KEM combiner step should not be performed if either of the component decapsulations returned an error condition indicating malformed inputs. For timing-invariance reasons, it is RECOMMENDED to perform both decapsulation operations and check for errors afterwards to prevent an attacker from using a timing channel to tell which component failed decapsulation. Also, RSA-based composites MUST ensure that the modulus size (i.e. the size of tradCT and tradPK) matches that specified for the given Composite ML-KEM algorithm in Table 2; depending on the cryptographic library used, this check may be done by the library or may require an explicit check as part of the CompositeKEM.Decap() routine.

4.4. KEM Combiner Function

As noted in the Encapsulation and Decapsulation proceedures above, this specification defines two KEM combiner constructions, one with SHA3 and one with HKDF-SHA2.

``` if KDF is "SHA3-256" ss = SHA3-256(mlkemSS || tradSS || tradCT || tradPK || Domain) else if KDF is "HKDF" ss = HKDF-Extract(salt="", IKM=mlkemSS || tradSS || tradCT || tradPK || Domain) # Note: salt is the empty string (0 octets), which will internally be mapped # to the zero vector 0x00..00 of the correct input size for the underlying # hash function as per [RFC 5869].

```

Implementation note: many cryptographic libraries provide only a combined interface for HKDF and do not expose HKDF-Extract() and HKDF-Expand() separately. Note that HKDF() even with the correct output length and empty info param is not equivalent to HKDF-Extract() since an extra iteration of HMAC will be performed. If HKDF-Extract() is not exposed, then it can be implemented directly with the HMAC primitive as:

HKDF-Extract(salt="", IKM=mlkemSS || tradSS || tradCT || tradPK || Domain) = HMAC-Hash(salt="", IKM=mlkemSS || tradSS || tradCT || tradPK || Domain)

4.5. SerializePublicKey and DeserializePublicKey

Each component KEM public key is serialized according to its respective standard as shown in Appendix A and concatenated together using a fixed 4-byte length field denoting the length in bytes of the first component key, as defined below.

Composite-ML-KEM.SerializePublicKey(pk) -> bytes

Explicit Input:

  pk    Composite ML-KEM public key

Implicit inputs:

  ML-KEM   A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example, could be "ML-KEM-768".

  Trad     A placeholder for the specific traditional algorithm and
           parameter set to use, for example "RSA-OAEP"
           or "X25519".

  IntegerToBytes  A function that takes an Integer and converts it to
           a byte representation of size byteLength.  See definition in
           [FIPS.204]

Output:

  bytes   The encoded public key

Serialization Process:

  1. Separate the public keys

     (mlkemPK, tradPK) = pk

  2. Serialize each of the constituent public keys
       The component keys are serialized according to their respective standard
       as shown in the component algorithm appendix.

     mlkemEncodedPK = ML-KEM.SerializePublicKey(mlkemPK)
     tradEncodedPK = Trad.SerializePublicKey(tradPK)

  3. Calculate the length encoding of the mlkemEncodedPK

     If (mlkemEncodedPK.length) > 2^32
         then output "message too long" and stop.

     encodedLength = IntegerToBytes(mlkemEncodedPK.length, 4)

  4. Combine and output the encoded public key

     bytes = encodedLength || mlkemEncodedPK || tradEncodedPK
     output bytes
Figure 4: Composite SerializePublicKey(pk)

Deserialization reverses this process, raising an error in the event that the input is malformed. Each component key is deserialized according to their respective standard as shown in Appendix A.

Composite-ML-KEM.DeserializePublicKey(bytes) -> pk

Explicit Input:

  bytes   An encoded public key

Implicit inputs:

  ML-KEM   A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example, could be "ML-KEM-768".

  Trad     A placeholder for the specific traditional algorithm and
           parameter set to use, for example "RSA-OAEP"
           or "X25519".

Output:

  pk     The composite ML-KEM public key

Deserialization Process:

  1. Validate the length of the the input byte string

     if bytes is not the correct length:
      output "Deserialization error"

  2. Parse each constituent encoded public key
       The first 4 bytes encodes the length of mlkemEncodedPK, which MAY
       be used to separate the mlkemEncodedPK and tradEncodedPK, and then
       is to be discarded.  This length SHOULD be checked against the
       expected length value as per ML-KEM.

     (mlkemEncodedPK, tradEncodedPK) = bytes

  3. Deserialize the constituent public keys
        The component keys are deserialized according to their respective standard
        as shown in the component algorithm appendix.

     mlkemPK = ML-KEM.DeserializePublicKey(mlkemEncodedPK)
     tradPK = Trad.DeserializePublicKey(tradEncodedPK)

  4. If either ML-KEM.DeserializePublicKey() or
     Trad.DeserializePublicKey() return an error,
     then this process must return an error.

      if NOT mlkemPK or NOT tradPK:
        output "Deserialization error"

  5. Output the composite ML-KEM public key

     output (mlkemPK, tradPK)
Figure 5: Composite DeserializePublicKey(bytes)

4.6. SerializePrivateKey and DeserializePrivateKey

The same serialization and deserialization process as described in Section 4.5 should be used to serialize and deserialize the private keys. The only difference is that pk is the private key, and the output is the concatenation of the mlkem and traditional private keys for serialization, or the mlkem and traditional private keys for deserialization.

4.7. SerializeCiphertextValue and DeSerializeCiphertextValue

Each Ciphertext component of CompositeCiphertextValue is serialized according to their respective standard as shown in Appendix A and concatenated together using a fixed 4-byte length field denoting the length in bytes of the first component signature, as shown below. For the Traditional component, the CipherText is the encrypted value 'enc' as described in Section 3.1 or Section 3.2 depending on the chosen component algorithm.

Composite-ML-DSA.SerializeCiphertextValue(CompositeCiphertextValue) -> bytes

Explicit Input:

  CompositeCiphertextValue    The Composite CipherText Value obtained from Composite-ML-KEM.Encap(pk)

Implicit inputs:

  ML-KEM   A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example, could be "ML-KEM-768".

  Trad     A placeholder for the specific traditional algorithm and
           parameter set to use, for example "RSAOAEP" or "ECDH".

  IntegerToBytes  A function that takes an Integer and converts it to
           a byte representation of size byteLength.  See definition in
           [FIPS.204]

Output:

  bytes   The encoded CompositeCiphertextValue

Serialization Process:

  1. Separate the cipher texts

     (mldkemct, tradkemct) = CompositeCiphertextValue

  2. Serialize each of the constituent cipher texts
       The component cipher texts are serialized according to their respective standard
       as shown in the component algorithm appendix.  For the tradkemEncodedCT the
       ciphertext is the encrypted output as defined in 'Promotion of RSA-OAEP into a KEM'
       or 'Promotion of ECDH into a KEM'.

     mlkemEncodedCt = ML-KEM.SerializeCiphertext(mlkemct)
     tradkemEncodedCT = Trad.SerializeCiphertext(tradkemct)

  3. Calculate the length encoding of the mlkemEncodedCt

     If (mlkemEncodedCt.length) > 2^32
         then output "message too long" and stop.

     encodedLength = IntegerToBytes(mlkemEncodedCt.length, 4)

  4. Combine and output the encoded composite ciphertext

     bytes = encodedLength || mlkemEncodedCt || tradkemEncodedCT
     output bytes
Figure 6: Composite SerializeCiphertextValue(CompositeCiphertextValue)

Deserialization reverses this process, raising an error in the event that the input is malformed. Each component ciphertext is deserialized according to their respective standard as shown in Appendix A. For the traditional component, the ciphertext is the encrypted value 'enc' as described in Section 3.1 or Section 3.2 depending on the chosen component algorithm.

Composite-ML-KEM.DeserializeCiphertextValue(bytes) -> CompositeCiphertextValue

Explicit Input:

  bytes   An encoded CompositeCiphertextValue

Implicit inputs:

  ML-KEM   A placeholder for the specific ML-KEM algorithm and
           parameter set to use, for example, could be "ML-KEM-768".

  Trad     A placeholder for the specific traditional algorithm and
           parameter set to use, for example "RSAOAEP" or "ECDH".

Output:

  CompositeCiphertextValue  The CompositeCiphertextValue

Deserialization Process:

  1. Validate the length of the the input byte string

     if bytes is not the correct length:
      output "Deserialization error"

  2. Parse each constituent encoded cipher text.
       The first 4 bytes encodes the length of mlkemEncodedCt, which MAY
       be used to separate the mlkemEncodedCt and tradkemEncodedCT,
       and then is to be discarded.  The mlkemEncodedCt length SHOULD
       be checked against the expected length value as per ML-KEM.

     (mlkemEncodedCt, tradkemEncodedCt) = bytes

  3. Deserialize the constituent cipher text values

     mlkemCt = ML-KEM.DeserializeCiphertext(mlkemEncodedCt)
     tradkemCt = Trad.DeserializeCiphertext(tradkemEncodedCt)

  4. If either ML-KEM.DeserializeCiphertext() or
     Trad.DeserializeCiphertext() return an error,
     then this process must return an error.

      if NOT mlkemCt or NOT tradkemCt:
        output "Deserialization error"

  5. Output the CompositeCiphertextValue

     output (mlkemCt, tradkemCt)
Figure 7: Composite DeserializeCiphertextValue(bytes)

4.8. ML-KEM public key, private key and cipher text sizes for serialization and deserialization

As noted above in the public key, private key and CompositeCiphertextValue serialization and deserialization methods use a fixed 4-byte length value to indicate the size of the first component. This is to allow the separation of the first component from the second component. It is RECOMMENDED that the length specified for the first component be checked against the values from the table below to ensure the encoding has been done propertly.

If future composite combinations make use of algorithms where the first component uses variable length keys or cipher texts, then this fixed 4-byte length value can be used to ensure the components are correctly deserialized.

The following table shows the fixed length values in bytes for the public, private and cipher text sizes for ML-KEM which can be used to deserialzie the components.

Table 1: ML-KEM Key and Ciphertext Sizes
Algorithm Public key Private key Ciphertext
ML-KEM-768 1184 64 or 2400 or 2464 1088
ML-KEM-1024 1568 64 or 3168 or 3232 1568

5. Composite Key Structures

In order to form composite public keys and ciphertext values, we define ASN.1-based composite encodings such that these structures can be used as a drop-in replacement for existing public key and ciphertext fields such as those found in PKCS#10 [RFC2986], CMP [RFC4210], X.509 [RFC5280], CMS [RFC5652].

5.1. CompositeKEMPublicKey

The wire encoding of a Composite ML-KEM public key is:

CompositeKEMPublicKey ::= BIT STRING

Since RSA and ECDH component public keys are themselves in a DER encoding, the following show the internal structure of the various public key types used in this specification:

When a CompositeKEMPublicKey is used with an RSA public key, the BIT STRING itself is generated by the concatenation of a raw ML-KEM key according to [I-D.ietf-lamps-kyber-certificates] and an RSAPublicKey (which is a DER encoded RSAPublicKey).

When a CompositeKEMPublicKey is used with an EC public key, the BIT STRING itself is generated by the concatenation of a raw ML-KEM key according to [I-D.ietf-lamps-kyber-certificates] and an ECDHPublicKey (which is a DER encoded ECPoint).

When a CompositeKEMPublicKey is used with an Edwards public key, the BIT STRING itself is generated by the concatenation of a raw ML-KEM key according to [I-D.ietf-lamps-kyber-certificates] and a raw Edwards public key according to [RFC8410].

Some applications may need to reconstruct the SubjectPublicKeyInfo objects corresponding to each component public key. Table 2 in Section 7 provides the necessary mapping between composite and their component algorithms for doing this reconstruction.

When the CompositeKEMPublicKey must be provided in octet string or bit string format, the data structure is encoded as specified in Section 5.3.

In order to maintain security properties of the composite, applications that use composite keys MUST always perform fresh key generations of both component keys and MUST NOT reuse existing key material. See Section 11.3 for a discussion.

The following ASN.1 Information Object Class is defined to allow for compact definitions of each composite algorithm, leading to a smaller overall ASN.1 module.

  pk-CompositeKEM {OBJECT IDENTIFIER:id, PublicKeyType}
    PUBLIC-KEY ::= {
      IDENTIFIER id
      KEY PublicKeyType
      PARAMS ARE absent
      CERT-KEY-USAGE { keyEncipherment }
    }

As an example, the public key type pk-MLKEM768-ECDH-P384 can be defined compactly as:

pk-MLKEM768-ECDH-P384 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-ECDH-P384-HKDF-SHA256,
    EcCompositeKemPublicKey }

The full set of key types defined by this specification can be found in the ASN.1 Module in Section 9.

5.2. CompositeKEMPrivateKey

When a Composite ML-KEM private key is to be exported from a cryptographic module, it uses an analogous definition to the public keys:

CompositeKEMPrivateKey ::= OCTET STRING

Each element of the CompositeKEMPrivateKey Sequence is an OCTET STRING according to the encoding of the underlying algorithm specification and will decode into the respective private key structures in an analogous way to the public key structures defined in Section 5.1. This document does not provide helper classes for private keys. The PrivateKey for each component algorithm MUST be in the same order as defined in Section 5.1.

Use cases that require an interoperable encoding for composite private keys will often need to place a CompositeKEMPrivateKey inside a OneAsymmetricKey structure defined in [RFC5958], such as when private keys are carried in PKCS #12 [RFC7292], CMP [RFC4210] or CRMF [RFC4211]. The definition of OneAsymmetricKey is copied here for convenience:

 OneAsymmetricKey ::= SEQUENCE {
       version                   Version,
       privateKeyAlgorithm       PrivateKeyAlgorithmIdentifier,
       privateKey                PrivateKey,
       attributes            [0] Attributes OPTIONAL,
       ...,
       [[2: publicKey        [1] PublicKey OPTIONAL ]],
       ...
     }

  ...
  PrivateKey ::= OCTET STRING
                        -- Content varies based on type of key.  The
                        -- algorithm identifier dictates the format of
                        -- the key.

When a CompositeKEMPrivateKey is conveyed inside a OneAsymmetricKey structure (version 1 of which is also known as PrivateKeyInfo) [RFC5958], the privateKeyAlgorithm field SHALL be set to the corresponding composite algorithm identifier defined according to Section 7 and its parameters field MUST be absent. The privateKey field SHALL contain the CompositeKEMPrivateKey, and the publicKey field remains OPTIONAL. If the publicKey field is present, it MUST be a CompositeKEMPublicKey.

Some applications may need to reconstruct the OneAsymmetricKey objects corresponding to each component private key. Section 7 provides the necessary mapping between composite and their component algorithms for doing this reconstruction.

Component keys of a CompositeKEMPrivateKey MUST NOT be used in any other type of key or as a standalone key. For more details on the security considerations around key reuse, see Section 11.3.

5.3. Encoding Rules

Many protocol specifications will require that the composite public key and composite private key data structures be represented by an octet string or bit string.

When an octet string is required, the DER encoding of the composite data structure SHALL be used directly.

When a bit string is required, the octets of the DER encoded composite data structure SHALL be used as the bits of the bit string, with the most significant bit of the first octet becoming the first bit, and so on, ending with the least significant bit of the last octet becoming the last bit of the bit string.

In the interests of simplicity and avoiding compatibility issues, implementations that parse these structures MAY accept both BER and DER.

5.4. Key Usage Bits

When any of the Composite ML-KEM AlgorithmIdentifier appears in the SubjectPublicKeyInfo field of an X.509 certificate [RFC5280], the key usage certificate extension MUST only contain

keyEncipherment

Composite ML-KEM keys MUST NOT be used in a "dual usage" mode because even if the traditional component key supports both signing and encryption, the post-quantum algorithms do not and therefore the overall composite algorithm does not.

6. Composite ML-KEM Structures

6.1. kema-CompositeKEM

The ASN.1 algorithm object for a Composite ML-KEM is:

kema-CompositeKEM {
  OBJECT IDENTIFIER:id,
    PUBLIC-KEY:publicKeyType }
    KEM-ALGORITHM ::= {
         IDENTIFIER id
         VALUE CompositeCiphertextValue
         PARAMS ARE absent
         PUBLIC-KEYS { publicKeyType }
        }

6.2. CompositeCiphertextValue

The CompositeCipherTextValue is the DER encoding of a SEQUENCE of the ciphertexts from the underlying component algorithms. It is represented in ASN.1 as follows:

CompositeCiphertextValue ::= OCTET STRING

The order of the component ciphertexts is the same as the order defined in Section 5.1.

7. Algorithm Identifiers

This table summarizes the list of Composite ML-KEM algorithms and lists the OID, two component algorithms, and the KDF to be used within combiner function. Domain separator values are defined below in Section 7.2.

EDNOTE: these are prototyping OIDs to be replaced by IANA.

<CompKEM>.1 is equal to 2.16.840.1.114027.80.5.2.1

7.1. Composite-ML-KEM Algorithm Identifiers

Table 2: Composite ML-KEM key types
Composite ML-KEM Algorithm OID First Algorithm Second Algorithm KDF
id-MLKEM768-RSA2048-HKDF-SHA256 <CompKEM>.30 MLKEM768 RSA-OAEP 2048 HKDF-SHA256
id-MLKEM768-RSA3072-HKDF-SHA256 <CompKEM>.31 MLKEM768 RSA-OAEP 3072 HKDF-SHA256
id-MLKEM768-RSA4096-HKDF-SHA256 <CompKEM>.32 MLKEM768 RSA-OAEP 4096 HKDF-SHA256
id-MLKEM768-X25519-SHA3-256 <CompKEM>.33 MLKEM768 X25519 SHA3-256
id-MLKEM768-ECDH-P256-HKDF-SHA256 <CompKEM>.34 MLKEM768 ECDH-P256 HKDF-SHA256
id-MLKEM768-ECDH-P384-HKDF-SHA256 <CompKEM>.35 MLKEM768 ECDH-P384 HKDF-SHA256
id-MLKEM768-ECDH-brainpoolP256r1-HKDF-SHA256 <CompKEM>.36 MLKEM768 ECDH-brainpoolp256r1 HKDF-SHA256
id-MLKEM1024-ECDH-P384-HKDF-SHA384 <CompKEM>.37 MLKEM1024 ECDH-P384 HKDF-SHA384/256
id-MLKEM1024-ECDH-brainpoolP384r1-HKDF-SHA384 <CompKEM>.38 MLKEM1024 ECDH-brainpoolP384r1 SHA3-256
id-MLKEM1024-X448-SHA3-256 <CompKEM>.39 MLKEM1024 X448 SHA3-256

Note that in alignment with ML-KEM which outputs a 256-bit shared secret key at all security levels, all Composite KEM algorithms output a 256-bit shared secret key.

For the use of HKDF [RFC5869]: a salt is not provided; i.e. the default salt (all zeroes of length HashLen) will be used. For HKDF-SHA256 the output of 256 bit output is used directly; for HKDF-SHA384/256, HKDF is invoked with SHA384 and then the output is truncated to 256 bits, meaning that only the first 256 bits of output are used.

Full specifications for the referenced component algorithms can be found in Appendix A.

7.2. Domain Separators

The KEM combiner used in this document requires a domain separator Domain input. The following table shows the HEX-encoded domain separator for each Composite ML-KEM AlgorithmID; to use it, the value MUST be HEX-decoded and used in binary form. The domain separator is simply the DER encoding of the composite algorithm OID.

Table 3: Composite ML-KEM fixedInfo Domain Separators
Composite ML-KEM Algorithm Domain Separator (in Hex encoding)
id-MLKEM768-RSA2048-HKDF-SHA256 060B6086480186FA6B5005021E
id-MLKEM768-RSA3072-HKDF-SHA256 060B6086480186FA6B5005021F
id-MLKEM768-RSA4096-HKDF-SHA256 060B6086480186FA6B50050220
id-MLKEM768-X25519-SHA3-256 060B6086480186FA6B50050221
id-MLKEM768-ECDH-P256-HKDF-SHA256 060B6086480186FA6B50050222
id-MLKEM768-ECDH-P384-HKDF-SHA256 060B6086480186FA6B50050223
id-MLKEM768-ECDH-brainpoolP256r1-HKDF-SHA256 060B6086480186FA6B50050224
id-MLKEM1024-ECDH-P384-HKDF-SHA384 060B6086480186FA6B50050225
id-MLKEM1024-ECDH-brainpoolP384r1-HKDF-SHA384 060B6086480186FA6B50050226
id-MLKEM1024-X448-SHA3-256 060B6086480186FA6B50050227

EDNOTE: these domain separators are based on the prototyping OIDs assigned on the Entrust arc. We will need to ask for IANA early allocation of these OIDs so that we can re-compute the domain separators over the final OIDs.

7.3. Rationale for choices

In generating the list of Composite algorithms, the following general guidance was used, however, during development of this specification several algorithms were added by direct request even though they do not fit this guidance.

  • Pair equivalent security levels between

  • NIST-P-384 is CNSA approved [CNSA2.0] for all classification levels.

  • 521 bit curve not widely used.

  • SHA256 and SHA512 generally have better adoption than SHA384.

A single invocation of SHA3 is known to behave as a dual-PRF, and thus is sufficient for use as a KDF, see Section 11.2, however SHA2 is not so must be wrapped in the HKDF construction.

The lower security levels (i.e. ML-KEM768) are provided with HKDF-SHA2 as the KDF in order to facilitate implementations that do not have easy access to SHA3 outside of the ML-KEM function. Higher security levels (i.e. ML-KEM1024) are paired with SHA3 for computational efficiency except for one variant paired with HKDF-SHA384 for compliance with [CNSA2.0], and the Edwards Curve (X25519 and X448) combinations are paired with SHA3 for compatibility with other similar specifications.

While it may seem odd to use 256-bit hash functions at all security levels, this aligns with ML-KEM which produces a 256-bit shared secret key at all security levels. SHA-256 and SHA3-256 both have >= 256 bits of (2nd) pre-image resistance, which is the required property for a KDF to provide 128 bits of security, as allowed in Table 3 of [SP.800-57pt1r5].

7.4. RSA-OAEP Parameters

Use of RSA-OAEP [RFC8017] within id-MLKEM768-RSA2048-HKDF-SHA256, id-MLKEM768-RSA3072-HKDF-SHA256, and id-MLKEM768-RSA4096-HKDF-SHA256 requires additional specification.

First, a quick note on the choice of RSA-OAEP as the supported RSA encryption primitive. RSA-KEM [RFC5990] is more straightforward to work with, but it has fairly limited adoption and therefore is of limited backwards compatibility value. Also, while RSA-PKCS#1v1.5 [RFC8017] is still everywhere, but hard to make secure and no longer FIPS-approved as of the end of 2023 [SP800-131Ar2], so it is of limited forwards value. This leaves RSA-OAEP [RFC8017] as the remaining choice.

The RSA component keys MUST be generated at the 2048-bit and 3072-bit security levels respectively.

As with the other Composite ML-KEM algorithms, when id-MLKEM768-RSA2048-HKDF-SHA256, id-MLKEM768-RSA3072-HKDF-SHA256, or id-MLKEM-RSA4096 is used in an AlgorithmIdentifier, the parameters MUST be absent. The RSA-OAEP SHALL be instantiated with the following hard-coded parameters which are the same for the 2048, 3072 and 4096 bit security levels.

Table 4: RSA-OAEP Parameters
RSAES-OAEP-params Value
hashAlgorithm id-sha256
maskGenAlgorithm mgf1SHA256Identifier
pSourceAlgorithm pSpecifiedEmpty
ss_len 256 bits

where:

  • id-sha256 is defined in [RFC8017].

  • mgf1SHA256Identifier is defined in [RFC4055], which refers to the MFG1 function defined in [RFC8017] appendix B.2.1.

  • pSpecifiedEmpty is defined in [RFC8017] to indicate that the empty string is used for the label.

Note: The mask length, according to [RFC8017], is k - hLen - 1, where k is the size of the RSA modulus. Since the choice of hash function and the RSA key size is fixed for each composite algorithm, implementations could choose to pre-compute and hard-code the mask length.

8. Use in CMS

[EDNOTE: The convention in LAMPS is to specify algorithms and their CMS conventions in separate documents. Here we have presented them in the same document, but this section has been written so that it can easily be moved to a standalone document.]

Composite ML-KEM algorithms MAY be employed for one or more recipients in the CMS enveloped-data content type [RFC5652], the CMS authenticated-data content type [RFC5652], or the CMS authenticated-enveloped-data content type [RFC5083]. In each case, the KEMRecipientInfo [RFC9629] is used with the chosen Composite ML-KEM Algorithm to securely transfer the content-encryption key from the originator to the recipient.

All recommendations for using Composite ML-KEM in CMS are fully aligned with the use of ML-KEM in CMS [I-D.ietf-lamps-cms-kyber].

8.1. Underlying Components

A compliant implementation MUST support the following algorithm combinations for the KEMRecipientInfo kdf and wrap fields when the corresponding Composite ML-KEM algorithm is listed in the KEMRecipientInfo kem field. The KDFs listed below align with the KDF used internally within the KEM combiner. An implementation MAY also support other key-derivation functions and other key-encryption algorithms within CMS KEMRecipientInfo and SHOULD use algorithms of equivalent strength or greater.

Table 5: Mandatory-to-implement pairings for CMS KDF and WRAP
Composite ML-KEM Algorithm KDF Wrap
id-MLKEM768-RSA2048-HKDF-SHA256 id-alg-hkdf-with-sha256 id-aes128-wrap
id-MLKEM768-RSA3072-HKDF-SHA256 id-alg-hkdf-with-sha256 id-aes128-wrap
id-MLKEM768-RSA4096-HKDF-SHA256 id-alg-hkdf-with-sha256 id-aes128-wrap
id-MLKEM768-X25519-SHA3-256 id-kmac256 id-aes128-wrap
id-MLKEM768-ECDH-P256-HKDF-SHA256 id-alg-hkdf-with-sha256 id-aes256-wrap
id-MLKEM768-ECDH-P384-HKDF-SHA256 id-alg-hkdf-with-sha256 id-aes256-wrap
id-MLKEM768-ECDH-brainpoolP256r1-HKDF-SHA256 id-alg-hkdf-with-sha256 id-aes256-wrap
id-MLKEM1024-ECDH-P384-HKDF-SHA384 id-alg-hkdf-with-sha384 id-aes256-wrap
id-MLKEM1024-ECDH-brainpoolP384r1-HKDF-SHA384 id-kmac256 id-aes256-wrap
id-MLKEM1024-X448-SHA3-256 id-kmac256 id-aes256-wrap

Full specifications for the referenced algorithms can be found either further down in this section, or in Appendix A.

Note that here we differ slightly from the internal KDF used within the KEM combiner in Section 7 because [RFC9629] requires that the KDF listed in the KEMRecipientInfo kdf field must have an interface which accepts KDF(IKM, L, info), so here we need to use KMAC and cannot directly use SHA3. Since we require 256-bits of (2nd) pre-image resistance, we use KMAC256 for the Composite ML-KEM algorithms with internally use SHA3-256, as aligned with Table 3 of [SP.800-57pt1r5].

8.1.1. Use of the HKDF-based Key Derivation Function within CMS

Unlike within the Composite KEM Combiner function, When used as a KDF for CMS, HKDF requires use of the HKDF-Expand step so that it can accept the length parameter kekLength from CMS KEMRecipientInfo as the HKDF parameter L.

The HMAC-based Extract-and-Expand Key Derivation Function (HKDF) is defined in [RFC5869]. The HKDF function is a composition of the HKDF-Extract and HKDF-Expand functions.

HKDF(salt, IKM, info, L)
  = HKDF-Expand(HKDF-Extract(salt, IKM), info, L)

HKDF(salt, IKM, info, L) takes the following parameters:

salt:

optional salt value (a non-secret random value). In this document this parameter is left at its default value, which is the string of HashLen zeros.

IKM:

input keying material. In this document this is the shared secret outputted from the Encaps() or Decaps() functions. This corresponds to the IKM KDF input from Section 5 of [RFC9629].

info:

optional context and application specific information. In this document this corresponds to the info KDF input from Section 5 of [RFC9629]. This is the ASN.1 DER encoding of CMSORIforKEMOtherInfo.

L:

length of output keying material in octets. This corresponds to the L KDF input from Section 5 of [RFC9629], which is identified in the kekLength value from KEMRecipientInfo. Implementations MUST confirm that this value is consistent with the key size of the key-encryption algorithm.

HKDF may be used with different hash functions, including SHA-256 and SHA-384 [FIPS.180-4]. The object identifier id-alg-hkdf-with-sha256 and id-alg-hkdf-with-sha384 are defined in [RFC8619], and specify the use of HKDF with SHA-256 and SHA-384. The parameter field MUST be absent when this algorithm identifier is used to specify the KDF for ML-KEM in KemRecipientInfo.

8.1.2. Use of the KMAC-based Key Derivation Function within CMS

KMAC256-KDF is a KMAC-based KDF specified for use in CMS in [I-D.ietf-lamps-cms-sha3-hash]. The definition of KMAC is copied here for convenience. Here, KMAC# indicates the use of either KMAC128-KDF or KMAC256-KDF, although only KMAC256 is used in this specification.

KMAC#(K, X, L, S) takes the following parameters:

  • K: the input key-derivation key. In this document this is the shared secret outputted from the Encaps() or Decaps() functions. This corresponds to the IKM KDF input from Section 5 of [RFC9629].

  • X: the context, corresponding to the info KDF input from Section 5 of [RFC9629]. This is the ASN.1 DER encoding of CMSORIforKEMOtherInfo.

  • L: the output length, in bits. This corresponds to the L KDF input from Section 5 of [RFC9629], which is identified in the kekLength value from KEMRecipientInfo. The L KDF input and kekLength values are specified in octets while this L parameter is specified in bits.

  • S: the optional customization label. In this document this parameter is unused, that is it is the zero-length string "".

The object identifier for KMAC256-KDF is id-kmac256, as defined in [I-D.ietf-lamps-cms-sha3-hash].

Since the customization label to KMAC# is not used, the parameter field MUST be absent when id-kmac256 is used as part of an algorithm identifier specifying the KDF to use for Composite ML-KEM in KemRecipientInfo.

8.2. RecipientInfo Conventions

When Composite ML-KEM is employed for a recipient, the RecipientInfo alternative for that recipient MUST be OtherRecipientInfo using the KEMRecipientInfo structure as defined in [RFC9629].

The fields of the KEMRecipientInfo MUST have the following values:

  • version is the syntax version number; it MUST be 0.

  • rid identifies the recipient's certificate or public key.

  • kem identifies the KEM algorithm; it MUST contain one of the Composite ML-KEM identifiers listed in Section 7.

  • kemct is the ciphertext produced for this recipient.

  • kdf identifies the key-derivation algorithm. Note that the Key Derivation Function (KDF) used for CMS RecipientInfo process (to calculate the RecipientInfo KEK key) MAY be different than the KDF used within the Composite ML-KEM algorithm (to calculate the shared secret ss) and MAY also be different from any KDFs used internally within a component algorithm.

  • kekLength is the size of the key-encryption key in octets.

  • ukm is an optional random input to the key-derivation function. ML-KEM doesn't place any requirements on the ukm contents.

  • wrap identifies a key-encryption algorithm used to encrypt the content-encryption key.

  • encryptedKey is the result of encryptiong the CEK with the KEK.

8.3. Certificate Conventions

The conventions specified in this section augment RFC 5280 [RFC5280].

The willingness to accept a Composite ML-KEM Algorithm MAY be signaled by the use of the SMIMECapabilities Attribute as specified in Section 2.5.2. of [RFC8551] or the SMIMECapabilities certificate extension as specified in [RFC4262].

The intended application for the public key MAY be indicated in the key usage certificate extension as specified in Section 4.2.1.3 of [RFC5280]. If the keyUsage extension is present in a certificate that conveys a Composite ML-KEM public key, then the key usage extension MUST contain only the following value:

keyEncipherment

The digitalSignature and dataEncipherment values MUST NOT be present. That is, a public key intended to be employed only with a Composite ML-KEM algorithm MUST NOT also be employed for data encryption or for digital signatures. This requirement does not carry any particular security consideration; only the convention that KEM keys be identified with the keyEncipherment key usage.

8.4. SMIMECapabilities Attribute Conventions

Section 2.5.2 of [RFC8551] defines the SMIMECapabilities attribute to announce a partial list of algorithms that an S/MIME implementation can support. When constructing a CMS signed-data content type [RFC5652], a compliant implementation MAY include the SMIMECapabilities attribute that announces support for the RSA-OAEP Algorithm.

The SMIMECapability SEQUENCE representing a Composite ML-KEM Algorithm MUST include the appropriate object identifier as per Table 2 in the capabilityID field.

9. ASN.1 Module 

<CODE STARTS>

Composite-MLKEM-2025
      { iso(1) identified-organization(3) dod(6) internet(1)
        security(5) mechanisms(5) pkix(7) id-mod(0)
        id-mod-composite-mlkem-2025(TBDMOD) }

DEFINITIONS IMPLICIT TAGS ::= BEGIN

EXPORTS ALL;

IMPORTS

PUBLIC-KEY, AlgorithmIdentifier{}, SMIME-CAPS
  FROM AlgorithmInformation-2009  -- RFC 5912 [X509ASN1]
      { iso(1) identified-organization(3) dod(6) internet(1)
        security(5) mechanisms(5) pkix(7) id-mod(0)
        id-mod-algorithmInformation-02(58) }

KEM-ALGORITHM
  FROM KEMAlgorithmInformation-2023
      { iso(1) identified-organization(3) dod(6) internet(1)
        security(5) mechanisms(5) pkix(7) id-mod(0)
        id-mod-kemAlgorithmInformation-2023(109) }
;


--
-- Object Identifiers
--

-- Defined in ITU-T X.690
der OBJECT IDENTIFIER ::=
  {joint-iso-itu-t asn1(1) ber-derived(2) distinguished-encoding(1)}

--
-- Composite KEM basic structures
--

-- When a CompositeKEMPublicKey is used with an RSA public key, the BIT STRING itself is generated
-- by the concatenation of a raw ML-KEM key according to {{I-D.ietf-lamps-kyber-certificates}} and
-- an RSAPublicKey (which is a DER encoded RSAPublicKey).

-- When a CompositeKEMPublicKey is used with an EC public key, the BIT STRING itself is generated
-- by the concatenation of a raw ML-KEM key according to {{I-D.ietf-lamps-kyber-certificates}} and
-- an ECDHPublicKey (which is a DER encoded ECPoint).

-- When a CompositeKEMPublicKey is used with an Edwards public key, the BIT STRING itself is generated
-- by the concatenation of a raw ML-KEM key according to {{I-D.ietf-lamps-kyber-certificates}} and
-- a raw Edwards public key according to [RFC8410].

CompositeKEMPublicKey ::= BIT STRING

-- When a CompositeKEMPrivateKey is used with an RSA private key, the BIT STRING itself is generated
-- by the concatenation of a raw ML-KEM key according to {{I-D.ietf-lamps-kyber-certificates}} and
-- an RSAPrivateKey (which is a DER encoded RSAPrivateKey).

-- When a CompositeKEMPrivateKey is used with an EC private key, the BIT STRING itself is generated
-- by the concatenation of a raw ML-KEM key according to {{I-D.ietf-lamps-kyber-certificates}} and
-- an ECDHPrivateKey (which is a DER encoded ECPoint).

-- When a CompositeKEMPrivateKey is used with an Edwards private key, the BIT STRING itself is generated
-- by the concatenation of a raw ML-KEM key according to {{I-D.ietf-lamps-kyber-certificates}} and
-- a raw Edwards private key according to [RFC8410].

CompositeKEMPrivateKey ::= OCTET STRING

-- Composite Ciphertext Value is just an OCTET STRING and is a concatenation of the component ciphertext
-- values.

CompositeCiphertextValue ::= OCTET STRING

--
-- Information Object Classes
--

pk-CompositeKEM {OBJECT IDENTIFIER:id, PublicKeyType}
  PUBLIC-KEY ::= {
    IDENTIFIER id
    KEY PublicKeyType
    PARAMS ARE absent
    CERT-KEY-USAGE { keyEncipherment }
  }

kema-CompositeKEM {
  OBJECT IDENTIFIER:id,
    PUBLIC-KEY:publicKeyType }
    KEM-ALGORITHM ::= {
         IDENTIFIER id
         VALUE CompositeCiphertextValue
         PARAMS ARE absent
         PUBLIC-KEYS { publicKeyType }
         SMIME-CAPS { IDENTIFIED BY id }
        }



--
-- Composite KEM Algorithms
--


-- TODO: OID to be replaced by IANA
id-MLKEM768-RSA2048 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 30 }

pk-MLKEM768-RSA2048 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-RSA2048,
    CompositeKEMPublicKey }

kema-MLKEM768-RSA2048 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM768-RSA2048,
      pk-MLKEM768-RSA2048 }



-- TODO: OID to be replaced by IANA
id-MLKEM768-RSA3072 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 31 }

pk-MLKEM768-RSA3072 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-RSA3072,
    CompositeKEMPublicKey }

kema-MLKEM768-RSA3072 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM768-RSA3072,
      pk-MLKEM768-RSA3072 }



-- TODO: OID to be replaced by IANA
id-MLKEM768-RSA4096 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 32 }

pk-MLKEM768-RSA4096 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-RSA4096,
    CompositeKEMPublicKey }

kema-MLKEM768-RSA4096 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM768-RSA4096,
      pk-MLKEM768-RSA4096 }


-- TODO: OID to be replaced by IANA
id-MLKEM768-ECDH-P384 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 33 }

pk-MLKEM768-ECDH-P384 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-ECDH-P384,
    CompositeKEMPublicKey }

kema-MLKEM768-ECDH-P384 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM768-ECDH-P384,
      pk-MLKEM768-ECDH-P384 }


-- TODO: OID to be replaced by IANA
id-MLKEM768-ECDH-brainpoolP256r1 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 34 }

pk-MLKEM768-ECDH-brainpoolP256r1 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-ECDH-brainpoolP256r1,
    CompositeKEMPublicKey }

kema-MLKEM768-ECDH-brainpoolP256r1 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM768-ECDH-brainpoolP256r1,
      pk-MLKEM768-ECDH-brainpoolP256r1 }


-- TODO: OID to be replaced by IANA
id-MLKEM768-X25519 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 35 }

pk-MLKEM768-X25519 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM768-X25519,
    CompositeKEMPublicKey }

kema-MLKEM768-X25519 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM768-X25519,
      pk-MLKEM768-X25519 }



-- TODO: OID to be replaced by IANA
id-MLKEM1024-ECDH-P384 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 36 }

pk-MLKEM1024-ECDH-P384 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM1024-ECDH-P384,
    CompositeKEMPublicKey }

kema-MLKEM1024-ECDH-P384 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM1024-ECDH-P384,
      pk-MLKEM1024-ECDH-P384 }


-- TODO: OID to be replaced by IANA
id-MLKEM1024-ECDH-brainpoolP384r1 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 37 }

pk-MLKEM1024-ECDH-brainpoolP384r1 PUBLIC-KEY ::=
  pk-CompositeKEM{
    id-MLKEM1024-ECDH-brainpoolP384r1,
    CompositeKEMPublicKey }

kema-MLKEM1024-ECDH-brainpoolP384r1 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM1024-ECDH-brainpoolP384r1,
      pk-MLKEM1024-ECDH-brainpoolP384r1 }


-- TODO: OID to be replaced by IANA
id-MLKEM1024-X448 OBJECT IDENTIFIER ::= {
  joint-iso-itu-t(2) country(16) us(840) organization(1)
  entrust(114027) algorithm(80) explicitcomposite(5) kem(2) 38 }

pk-MLKEM1024-X448 PUBLIC-KEY ::=
  pk-CompositeKEM {
    id-MLKEM1024-X448,
    CompositeKEMPublicKey }

kema-MLKEM1024-X448 KEM-ALGORITHM ::=
    kema-CompositeKEM{
      id-MLKEM1024-X448,
      pk-MLKEM1024-X448 }


--
-- Expand the S/MIME capabilities set used by CMS [RFC5911]
--

-- TODO: this doesn't compile, error:
-- "The referenced object in the 'ValueFromObject'
-- syntax with the field '&smimeCaps' is invalid or does not exist."
-- We need help from an SMIME expert

SMimeCaps SMIME-CAPS ::=
    { kema-MLKEM768-RSA2048.&smimeCaps |
      kema-MLKEM768-RSA3072.&smimeCaps |
      kema-MLKEM768-RSA4096.&smimeCaps |
      kema-MLKEM768-ECDH-P384.&smimeCaps |
      kema-MLKEM768-ECDH-brainpoolP256r1.&smimeCaps |
      kema-MLKEM768-X25519.&smimeCaps |
      kema-MLKEM1024-ECDH-P384.&smimeCaps |
      kema-MLKEM1024-ECDH-brainpoolP384r1.&smimeCaps |
      kema-MLKEM1024-X448.&smimeCaps,
      ... }

END

<CODE ENDS>

10. IANA Considerations

10.1. Object Identifier Allocations

EDNOTE to IANA: OIDs will need to be replaced in both the ASN.1 module and in Table 2.

10.1.1. Module Registration - SMI Security for PKIX Module Identifier

  • Decimal: IANA Assigned - Replace TBDMOD

  • Description: Composite-KEM-2023 - id-mod-composite-kems

  • References: This Document

10.1.2. Object Identifier Registrations - SMI Security for PKIX Algorithms

  • id-raw-key

  • Decimal: IANA Assigned

  • Description: Designates a public key BIT STRING with no ASN.1 structure.

  • References: This Document

  • id-MLKEM768-RSA2048-HKDF-SHA256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-RSA2048-HKDF-SHA256

    • References: This Document

  • id-MLKEM768-RSA3072-HKDF-SHA256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-RSA3072-HKDF-SHA256

    • References: This Document

  • id-MLKEM768-RSA4096-HKDF-SHA256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-RSA4096-HKDF-SHA256

    • References: This Document

  • id-MLKEM768-ECDH-P256-HKDF-SHA256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-ECDH-P256-HKDF-SHA256

    • References: This Document

  • id-MLKEM768-ECDH-P384-HKDF-SHA256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-ECDH-P384-HKDF-SHA256

    • References: This Document

  • id-MLKEM768-ECDH-brainpoolP256r1-HKDF-SHA256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-ECDH-brainpoolP256r1-HKDF-SHA256

    • References: This Document

  • id-MLKEM768-X25519-SHA3-256

    • Decimal: IANA Assigned

    • Description: id-MLKEM768-X25519-SHA3-256

    • References: This Document

  • id-MLKEM1024-ECDH-P384-HKDF-SHA384

    • Decimal: IANA Assigned

    • Description: id-MLKEM1024-ECDH-P384-HKDF-SHA384

    • References: This Document

  • id-MLKEM1024-ECDH-brainpoolP384r1-HKDF-SHA384

    • Decimal: IANA Assigned

    • Description: id-MLKEM1024-ECDH-brainpoolP384r1-HKDF-SHA384

    • References: This Document

  • id-MLKEM1024-X448-SHA3-256

    • Decimal: IANA Assigned

    • Description: id-MLKEM1024-X448-SHA3-256

    • References: This Document

11. Security Considerations

11.1. Why Hybrids?

In broad terms, a PQ/T Hybrid can be used either to provide dual-algorithm security or to provide migration flexibility. Let's quickly explore both.

Dual-algorithm security. The general idea is that the data is proctected by two algorithms such that an attacker would need to break both in order to compromise the data. As with most of cryptography, this property is easy to state in general terms, but becomes more complicated when expressed in formalisms. The following sections go into more detail here.

Migration flexibility. Some PQ/T hybrids exist to provide a sort of "OR" mode where the client can choose to use one algorithm or the other or both. The intention is that the PQ/T hybrid mechanism builds in backwards compatibility to allow legacy and upgraded clients to co-exist and communicate. The Composites presented in this specification do not provide this since they operate in a strict "AND" mode, but they do provide codebase migration flexibility. Consider that an organization has today a mature, validated, certified, hardened implementation of RSA or ECC. Composites allow them to add to this an ML-KEM implementation which immediately starts providing benefits against harvest-now-decrypt-later attacks even if that ML-KEM implemtation is still experimental, non-validated, non-certified, non-hardened implementation. More details of obtaining FIPS certification of a composite algorithm can be found in Appendix C.1.

11.2. KEM Combiner

The following KEM combiner construction is as follows is used by both Composite-ML-KEM.Encap() and Composite-ML-KEM.Decap() and is split out here for easier analysis.

  KDF(mlkemSS || tradSS || tradCT || tradPK || Domain)
Figure 8: KEM combiner construction

where:

  • KDF(message) represents a key derivation function suitable to the chosen KEMs according to Table 2. All KDFs produce a 256-bit shared secret key, which matches ML-KEM.

  • mlkemSS is the shared secret key from the ML-KEM component.

  • tradSS is the shared secret from the traditional component (elliptic curve or RSA).

  • tradCT is the ciphertext from the traditional component (elliptic curve or RSA).

  • tradPK is the public key of the traditional component (elliptic curve or RSA).

  • Domain is the DER encoded value of the object identifier of the Composite ML-KEM algorithm as listed in Section 7.2.

  • || represents concatenation.

Each registered Composite ML-KEM algorithm specifies the choice of KDF and Domain to be used in Section 7 and Section 7.2 below. Given that each Composite ML-KEM algorithm fully specifies the component algorithms, including for example the size of the RSA modulus, all inputs to the KEM combiner are fixed-size and thus do not require length-prefixing. The CompositeKEM.Decap() specified in Section 4.3 adds further error handling to protect the KEM combiner from malicious inputs.

The primary security property of the KEM combiner is that it preserves IND-CCA2 of the overall Composite ML-KEM so long as at least one component is IND-CCA2 [X-Wing] [GHP18]. Additionally, we also need to consider the case where one of the component algorithms is completely broken; that the private key is known to an attacker, or worse that the public key, private key, and ciphertext are manipulated by the attacker. In this case, we rely on the construction of the KEM combiner to ensure that the value of the other shared secret cannot be leaked or the combined shared secret predicted via manipulation of the broken algorithm. The following sections continue this discussion.

Note that length-tagging of the inputs to the KDF is not required:

  • mlkemSS is always 32 bytes.

  • tradSS in the case of ECDH this is derived by the decapsulator and therefore the length is not controlled by the attacker, however in the case of RSA-OAEP this value is directly chosen by the sender and both the length and content could be freely chosen by an attacker.

  • tradCT is either an elliptic curve public key or an RSA-OAEP ciphertext which is required to have its length checked by step 1b of RSAES-OAEP-DECRYPT in [RFC8017].

  • tradPK is the public key of the traditional component (elliptic curve or RSA) and therefore fixed-length.

  • Domain is a fixed value specified in this document.

In the case of a composite with ECDH, all inputs to the KDF are fixed-length. In the case of a composite with RSA-OAEP the tradSS is controlled by the attacker but this still does not require length tagging because, unless there is a weakness in the KDF, length-manipulation of only one input is not sufficient to trivially produce collisions.

11.2.1. Security of the hybrid scheme

Informally, a Composite ML-KEM algorithm is secure if the combiner (HKDF-SHA2 or SHA3) is secure, and either ML-KEM is secure or the traditional component (RSA-OAEP, ECDH, or X25519) is secure.

The security of ML-KEM and ECDH hybrids is covered in [[X-Wing]] and requires that the first KEM component (ML-KEM in this construction) is IND-CCA and second ciphertext preimage resistant (C2PRI) and that the second traditional component is IND-CCA. This design choice improves performance by not including the large ML-KEM public key and ciphertext, but means that an implementation error in the ML-KEM component that affects the ciphertext check step of the FO transform could result in the overall composite no longer achieving IND-CCA2 security.

The QSF framework presented in [[X-Wing]] is extended to cover RSA-OAEP as the traditional algorithm in place of ECDH by noting that RSA-OAEP is also IND-CCA secure [RFC8017].

Note that X-Wing uses SHA3 as the combiner KDF whereas Composite ML-KEM uses either SHA3 or HKDF-SHA2 which are interchangeable in the X-Wing proof since both behave as random oracles under multiple concatenated inputs.

The Composite combiner cannot be assumed to be secure when used with different KEMs and a more cautious approach would bind the public key and ciphertext of the first KEM as well.

11.2.2. Second pre-image resistance of component KEMs

The notion of a second pre-image resistant KEM is defined in [X-Wing] being the property that it is computationally difficult to find two different ciphertexts c != c' that will decapsulate to the same shared secret under the same public key. For the purposes of a hybrid KEM combiner, this property means that given two composite ciphertexts (c1, c2) and (c1', c2'), we must obtain a unique overall shared secret so long as either c1 != c1' or c2 != c2' -- i.e. the overall Composite ML-KEM is second pre-image resistant, and therefore secure so long as one of the component KEMs is secure.

In [X-Wing] it is proven that ML-KEM is a second pre-image resistant KEM and therefore the ML-KEM ciphertext can safely be omitted from the KEM combiner. Note that this makes a fundamental assumption on ML-KEM remaining ciphertext second pre-image resistant, and therefore this formulation of KEM combiner does not fully protect against implementation errors in the ML-KEM component -- particularly around the ciphertext check step of the Fujisaki-Okamoto transform -- which could trivially lead to second ciphertext pre-image attacks that break the IND-CCA2 security of the ML-KEM component and of the overall Composite ML-KEM. This could be more fully mitigated by binding the ML-KEM ciphertext in the combiner, but a design decision was made to settle for protection against algorithmic attacks and not implementation attacks against ML-KEM in order to increase performance.

However, since neither RSA-OAEP nor ECDH guarantee second pre-image resistance at all, even in a correct implementation, these ciphertexts are bound to the key derivation in order to guarantee that c != c' will yield a unique ciphertext, and thus restoring second pre-image resistance to the overall Composite ML-KEM.

11.2.3. SHA3 vs HKDF-SHA2

In order to achieve the desired security property that the Composite ML-KEM is IND-CCA2 whenever at least one of the component KEMs is, the KDF used in the KEM combiner needs to possess collision and second pre-image resistance with respect to each of its inputs independently; a property sometimes called "dual-PRF" [Aviram22]. Collision and second-pre-image resistance protects against compromise of one component algorithm from resulting in the ability to construct multiple different ciphertexts which result in the same shared secret. Pre-image resistance protects against compromise of one component algorithm being used to attack and learn the value of the other shared secret.

SHA3 is known to have all of the necessary dual-PRF properties [X-Wing], but SHA2 does not and therefore all SHA2-based constructions MUST use SHA2 within an HMAC construction such as HKDF-SHA2 [GHP18].

11.2.4. Generifying this construction

It should be clear that the security analysis of the presented KEM combiner construction relies heavily on the specific choices of component algorithms and combiner KDF, and this combiner construction SHOULD NOT by applied to any other combination of ciphers without performing the appropriate security analysis.

11.3. Key Reuse

When using single-algorithm cryptography, the best practice is to always generate fresh keying material for each purpose, for example when renewing a certificate, or obtaining both a TLS and S/MIME certificate for the same device, however in practice key reuse in such scenarios is not always catastrophic to security and therefore often tolerated. With composite keys we have a much stricter security requirement. However this reasoning does not hold in the PQ / Traditional hybrid setting.

Within the broader context of PQ / Traditional hybrids, we need to consider new attack surfaces that arise due to the hybrid constructions and did not exist in single-algorithm contexts. One of these is key reuse where the component keys within a hybrid are also used by themselves within a single-algorithm context. For example, it might be tempting for an operator to take already-deployed RSA keys and add an ML-KEM key to them to form a hybrid. Within a hybrid signature context this leads to a class of attacks referred to as "stripping attacks" where one component signature can be extracted and presented as a single-algorithm signature. Hybrid KEMs using a concatenation-style KEM combiner, as is done in this document, do not have the analogous attack surface because even if an attacker is able to extract and decrypt one of the component ciphertexts, this will yield a different shared secret than the overall shared secret derived from the composite, so any subsequent symmetric cryptographic operations will fail. However there is still a risk of key reuse which relates to certificate revocation, as well as general key reuse security issues.

Upon receiving a new certificate enrollment request, many certification authorities will check if the requested public key has been previously revoked due to key compromise. Often a CA will perform this check by using the public key hash. Therefore, even if both components of a composite have been previously revoked, the CA may only check the hash of the combined composite key and not find the revocations. Therefore, it is RECOMMENDED to avoid key reuse and always generate fresh component keys for a new composite. It is also RECOMMENDED that CAs performing revocation checks on a composite key should also check both component keys independently.

11.4. Decapsulation failure

Provided all inputs are well-formed, the key establishment procedure of ML-KEM will never explicitly fail. Specifically, the ML-KEM.Encaps and ML-KEM.Decaps algorithms from [FIPS.203] will always output a value with the same data type as a shared secret key, and will never output an error or failure symbol. However, it is possible (though extremely unlikely) that the process will fail in the sense that ML-KEM.Encaps and ML-KEM.Decaps will produce different outputs, even though both of them are behaving honestly and no adversarial interference is present. In this case, the sender and recipient clearly did not succeed in producing a shared secret key. This event is called a decapsulation failure. Estimates for the decapsulation failure probability (or rate) for each of the ML-KEM parameter sets are provided in Table 1 of [FIPS.203] and reproduced here in Table 6.

Table 6: ML-KEM decapsulation failure rates
Parameter set Decapsulation failure rate
ML-KEM-512 2^(-139)
ML-KEM-768 2^(-164)
ML-KEM-1024 2^(-174)

In the case of ML-KEM decapsulation failure, Composite ML-KEM MUST preserve the same behaviour and return a well-formed output.

11.5. Policy for Deprecated and Acceptable Algorithms

Traditionally, a public key or certificate contains a single cryptographic algorithm. If and when an algorithm becomes deprecated (for example, RSA-512, or SHA1), the path to deprecating it and removing it from operational environments is, at least is principle, straightforward.

In the composite model this is less obvious since implementers may decide that certain cryptographic algorithms have complementary security properties and are acceptable in combination even though one or both algorithms are deprecated for individual use. As such, a single composite public key or certificate may contain a mixture of deprecated and non-deprecated algorithms.

Since composite algorithms are registered independently of their component algorithms, their deprecation can be handled independently from that of their component algorithms. For example a cryptographic policy might continue to allow id-MLKEM512-ECDH-P256 even after ECDH-P256 is deprecated.

The Composite ML-KEM design specified in this document, and especially that of the KEM combiner specified in this document, and discussed in Section 11.2, means that the overall Composite ML-KEM algorithm should be considered to have the security strength of the strongest of its component algorithms; i.e. as long as one component algorithm remains strong, then the overall composite algorithm remains strong.

12. References

12.1. Normative References

[FIPS.180-4]
National Institute of Standards and Technology (NIST), "FIPS Publication 180-4: Secure Hash Standard", , <https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.180-4.pdf>.
[FIPS.202]
National Institute of Standards and Technology (NIST), "SHA-3 Standard: Permutation-Based Hash and Extendable-Output Functions", , <https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf>.
[FIPS.203]
National Institute of Standards and Technology (NIST), "Module-Lattice-based Key-Encapsulation Mechanism Standard", , <https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.203.pdf>.
[FIPS.204]
National Institute of Standards and Technology (NIST), "Module-Lattice-Based Digital Signature Standard", , <https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.204.pdf>.
[I-D.ietf-lamps-cms-sha3-hash]
Housley, R., "Use of the SHA3 One-way Hash Functions in the Cryptographic Message Syntax (CMS)", Work in Progress, Internet-Draft, draft-ietf-lamps-cms-sha3-hash-04, , <https://datatracker.ietf.org/doc/html/draft-ietf-lamps-cms-sha3-hash-04>.
[I-D.ietf-lamps-kyber-certificates]
Turner, S., Kampanakis, P., Massimo, J., and B. Westerbaan, "Internet X.509 Public Key Infrastructure - Algorithm Identifiers for the Module-Lattice-Based Key-Encapsulation Mechanism (ML-KEM)", Work in Progress, Internet-Draft, draft-ietf-lamps-kyber-certificates-06, , <https://datatracker.ietf.org/doc/html/draft-ietf-lamps-kyber-certificates-06>.
[RFC2119]
Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, , <https://www.rfc-editor.org/info/rfc2119>.
[RFC4055]
Schaad, J., Kaliski, B., and R. Housley, "Additional Algorithms and Identifiers for RSA Cryptography for use in the Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 4055, DOI 10.17487/RFC4055, , <https://www.rfc-editor.org/info/rfc4055>.
[RFC5280]
Cooper, D., Santesson, S., Farrell, S., Boeyen, S., Housley, R., and W. Polk, "Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 5280, DOI 10.17487/RFC5280, , <https://www.rfc-editor.org/info/rfc5280>.
[RFC5480]
Turner, S., Brown, D., Yiu, K., Housley, R., and T. Polk, "Elliptic Curve Cryptography Subject Public Key Information", RFC 5480, DOI 10.17487/RFC5480, , <https://www.rfc-editor.org/info/rfc5480>.
[RFC5652]
Housley, R., "Cryptographic Message Syntax (CMS)", STD 70, RFC 5652, DOI 10.17487/RFC5652, , <https://www.rfc-editor.org/info/rfc5652>.
[RFC5869]
Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand Key Derivation Function (HKDF)", RFC 5869, DOI 10.17487/RFC5869, , <https://www.rfc-editor.org/info/rfc5869>.
[RFC5958]
Turner, S., "Asymmetric Key Packages", RFC 5958, DOI 10.17487/RFC5958, , <https://www.rfc-editor.org/info/rfc5958>.
[RFC6234]
Eastlake 3rd, D. and T. Hansen, "US Secure Hash Algorithms (SHA and SHA-based HMAC and HKDF)", RFC 6234, DOI 10.17487/RFC6234, , <https://www.rfc-editor.org/info/rfc6234>.
[RFC8017]
Moriarty, K., Ed., Kaliski, B., Jonsson, J., and A. Rusch, "PKCS #1: RSA Cryptography Specifications Version 2.2", RFC 8017, DOI 10.17487/RFC8017, , <https://www.rfc-editor.org/info/rfc8017>.
[RFC8174]
Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, , <https://www.rfc-editor.org/info/rfc8174>.
[RFC8410]
Josefsson, S. and J. Schaad, "Algorithm Identifiers for Ed25519, Ed448, X25519, and X448 for Use in the Internet X.509 Public Key Infrastructure", RFC 8410, DOI 10.17487/RFC8410, , <https://www.rfc-editor.org/info/rfc8410>.
[RFC8411]
Schaad, J. and R. Andrews, "IANA Registration for the Cryptographic Algorithm Object Identifier Range", RFC 8411, DOI 10.17487/RFC8411, , <https://www.rfc-editor.org/info/rfc8411>.
[RFC8619]
Housley, R., "Algorithm Identifiers for the HMAC-based Extract-and-Expand Key Derivation Function (HKDF)", RFC 8619, DOI 10.17487/RFC8619, , <https://www.rfc-editor.org/info/rfc8619>.
[RFC9629]
Housley, R., Gray, J., and T. Okubo, "Using Key Encapsulation Mechanism (KEM) Algorithms in the Cryptographic Message Syntax (CMS)", RFC 9629, DOI 10.17487/RFC9629, , <https://www.rfc-editor.org/info/rfc9629>.
[SP.800-185]
National Institute of Standards and Technology (NIST), "SHA-3 Derived Functions: cSHAKE, KMAC, TupleHash, and ParallelHash", , <https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-185.pdf>.
[SP.800-56Ar3]
National Institute of Standards and Technology (NIST), "Recommendation for Pair-Wise Key-Establishment Schemes Using Discrete Logarithm Cryptography", , <https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-56Ar3.pdf>.
[SP.800-56Cr2]
National Institute of Standards and Technology (NIST), "Recommendation for Key-Derivation Methods in Key-Establishment Schemes", , <https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-56Cr2.pdf>.
[SP.800-57pt1r5]
National Institute of Standards and Technology (NIST), "Recommendation for Key Management: Part 1 – General", , <https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-57pt1r5.pdf>.
[X.690]
ITU-T, "Information technology - ASN.1 encoding Rules: Specification of Basic Encoding Rules (BER), Canonical Encoding Rules (CER) and Distinguished Encoding Rules (DER)", ISO/IEC 8825-1:2015, .

12.2. Informative References

[ANSSI2024]
French Cybersecurity Agency (ANSSI), Federal Office for Information Security (BSI), Netherlands National Communications Security Agency (NLNCSA), and Swedish National Communications Security Authority, Swedish Armed Forces, "Position Paper on Quantum Key Distribution", n.d., <https://cyber.gouv.fr/sites/default/files/document/Quantum_Key_Distribution_Position_Paper.pdf>.
[Aviram22]
Yogev, E., "Practical (Post-Quantum) Key Combiners from One-Wayness and Applications to TLS", n.d., <https://eprint.iacr.org/2022/065>.
[BSI2021]
Federal Office for Information Security (BSI), "Quantum-safe cryptography - fundamentals, current developments and recommendations", , <https://www.bsi.bund.de/SharedDocs/Downloads/EN/BSI/Publications/Brochure/quantum-safe-cryptography.pdf>.
[CNSA2.0]
"Commercial National Security Algorithm Suite 2.0", n.d., <https://media.defense.gov/2022/Sep/07/2003071834/-1/-1/0/CSA_CNSA_2.0_ALGORITHMS_.PDF>.
[ETSI.TS.103.744]
ETSI, "ETSI TS 103 744 V1.1.1 CYBER; Quantum-safe Hybrid Key Exchanges", , <https://www.etsi.org/deliver/etsi_ts/103700_103799/103744/01.01.01_60/ts_103744v010101p.pdf>.
[FIPS-140-3-IG]
National Institute of Standards and Technology (NIST), "Implementation Guidance for FIPS 140-3 and the Cryptographic Module Validation Program", , <https://csrc.nist.gov/csrc/media/Projects/cryptographic-module-validation-program/documents/fips%20140-3/FIPS%20140-3%20IG.pdf>.
[GHP18]
Poettering, B., "KEM Combiners", , <https://eprint.iacr.org/2018/024>.
[I-D.ietf-lamps-cms-kyber]
Prat, J., Ounsworth, M., and D. Van Geest, "Use of ML-KEM in the Cryptographic Message Syntax (CMS)", Work in Progress, Internet-Draft, draft-ietf-lamps-cms-kyber-05, , <https://datatracker.ietf.org/doc/html/draft-ietf-lamps-cms-kyber-05>.
[I-D.ietf-pquip-pqt-hybrid-terminology]
D, F., P, M., and B. Hale, "Terminology for Post-Quantum Traditional Hybrid Schemes", Work in Progress, Internet-Draft, draft-ietf-pquip-pqt-hybrid-terminology-04, , <https://datatracker.ietf.org/doc/html/draft-ietf-pquip-pqt-hybrid-terminology-04>.
[I-D.ietf-tls-hybrid-design]
Stebila, D., Fluhrer, S., and S. Gueron, "Hybrid key exchange in TLS 1.3", Work in Progress, Internet-Draft, draft-ietf-tls-hybrid-design-04, , <https://datatracker.ietf.org/doc/html/draft-ietf-tls-hybrid-design-04>.
[RFC2986]
Nystrom, M. and B. Kaliski, "PKCS #10: Certification Request Syntax Specification Version 1.7", RFC 2986, DOI 10.17487/RFC2986, , <https://www.rfc-editor.org/info/rfc2986>.
[RFC4210]
Adams, C., Farrell, S., Kause, T., and T. Mononen, "Internet X.509 Public Key Infrastructure Certificate Management Protocol (CMP)", RFC 4210, DOI 10.17487/RFC4210, , <https://www.rfc-editor.org/info/rfc4210>.
[RFC4211]
Schaad, J., "Internet X.509 Public Key Infrastructure Certificate Request Message Format (CRMF)", RFC 4211, DOI 10.17487/RFC4211, , <https://www.rfc-editor.org/info/rfc4211>.
[RFC4262]
Santesson, S., "X.509 Certificate Extension for Secure/Multipurpose Internet Mail Extensions (S/MIME) Capabilities", RFC 4262, DOI 10.17487/RFC4262, , <https://www.rfc-editor.org/info/rfc4262>.
[RFC5083]
Housley, R., "Cryptographic Message Syntax (CMS) Authenticated-Enveloped-Data Content Type", RFC 5083, DOI 10.17487/RFC5083, , <https://www.rfc-editor.org/info/rfc5083>.
[RFC5639]
Lochter, M. and J. Merkle, "Elliptic Curve Cryptography (ECC) Brainpool Standard Curves and Curve Generation", RFC 5639, DOI 10.17487/RFC5639, , <https://www.rfc-editor.org/info/rfc5639>.
[RFC5914]
Housley, R., Ashmore, S., and C. Wallace, "Trust Anchor Format", RFC 5914, DOI 10.17487/RFC5914, , <https://www.rfc-editor.org/info/rfc5914>.
[RFC5990]
Randall, J., Kaliski, B., Brainard, J., and S. Turner, "Use of the RSA-KEM Key Transport Algorithm in the Cryptographic Message Syntax (CMS)", RFC 5990, DOI 10.17487/RFC5990, , <https://www.rfc-editor.org/info/rfc5990>.
[RFC6090]
McGrew, D., Igoe, K., and M. Salter, "Fundamental Elliptic Curve Cryptography Algorithms", RFC 6090, DOI 10.17487/RFC6090, , <https://www.rfc-editor.org/info/rfc6090>.
[RFC7292]
Moriarty, K., Ed., Nystrom, M., Parkinson, S., Rusch, A., and M. Scott, "PKCS #12: Personal Information Exchange Syntax v1.1", RFC 7292, DOI 10.17487/RFC7292, , <https://www.rfc-editor.org/info/rfc7292>.
[RFC7296]
Kaufman, C., Hoffman, P., Nir, Y., Eronen, P., and T. Kivinen, "Internet Key Exchange Protocol Version 2 (IKEv2)", STD 79, RFC 7296, DOI 10.17487/RFC7296, , <https://www.rfc-editor.org/info/rfc7296>.
[RFC8446]
Rescorla, E., "The Transport Layer Security (TLS) Protocol Version 1.3", RFC 8446, DOI 10.17487/RFC8446, , <https://www.rfc-editor.org/info/rfc8446>.
[RFC8551]
Schaad, J., Ramsdell, B., and S. Turner, "Secure/Multipurpose Internet Mail Extensions (S/MIME) Version 4.0 Message Specification", RFC 8551, DOI 10.17487/RFC8551, , <https://www.rfc-editor.org/info/rfc8551>.
[RFC9180]
Barnes, R., Bhargavan, K., Lipp, B., and C. Wood, "Hybrid Public Key Encryption", RFC 9180, DOI 10.17487/RFC9180, , <https://www.rfc-editor.org/info/rfc9180>.
[SP-800-227ipd]
Alagic, G., Barker, E., Chen, L., Moody, D., Robinson, A., Silberg, H., and N. Waller, "Recommendations for Key-Encapsulation Mechanisms (Initial Public Draft)", n.d., <https://csrc.nist.gov/pubs/sp/800/227/ipd>.
[SP800-131Ar2]
Barker, E. and A. Roginksy, "Transitioning the Use of Cryptographic Algorithms and Key Lengths", n.d., <https://nvlpubs.nist.gov/nistpubs/specialpublications/nist.sp.800-131ar2.pdf>.
[X-Wing]
Barbosa, M., Connolly, D., Duarte, J., Kaiser, A., Schwabe, P., Varner, K., and B. Westerbaan, "X-Wing The Hybrid KEM You’ve Been Looking For", , <https://eprint.iacr.org/2024/039.pdf>.

Appendix A. Component Algorithm Reference

This section provides references to the full specification of the algorithms used in the composite constructions.

Table 7: Component Encryption Algorithms used in Composite Constructions
Component KEM Algorithm ID OID Specification
id-ML-KEM-768 2.16.840.1.101.3.4.4.2 [FIPS.203]
id-ML-KEM-1024 2.16.840.1.101.3.4.4.3 [FIPS.203]
id-X25519 1.3.101.110 [RFC8410]
id-X448 1.3.101.111 [RFC8410]
id-ecDH 1.3.132.1.12 [RFC5480]
id-RSAES-OAEP 1.2.840.113549.1.1.7 [RFC8017]
Table 8: Elliptic Curves used in Composite Constructions
Elliptic CurveID OID Specification
secp256r1 1.2.840.10045.3.1.7 [RFC6090]
secp384r1 1.3.132.0.34 [RFC6090]
brainpoolP256r1 1.3.36.3.3.2.8.1.1.7 [RFC5639]
brainpoolP384r1 1.3.36.3.3.2.8.1.1.11 [RFC5639]
Table 9: Hash algorithms used in Composite Constructions
HashID OID Specification
id-sha256 2.16.840.1.101.3.4.2.1 [RFC6234]
id-sha512 2.16.840.1..101.3.4.2.3 [RFC6234]
id-alg-hkdf-with-sha256 1.2.840.113549.1.9.16.3.28 [RFC8619]
id-alg-hkdf-with-sha384 1.2.840.113549.1.9.16.3.29 [RFC8619]
id-sha3-256 2.16.840.1.101.3.4.2.8 [FIPS.202]
id-KMAC128 2.16.840.1.101.3.4.2.21 [SP.800-185]

Appendix B. Fixed Component Algorithm Identifiers

The following sections list explicitly the DER encoded AlgorithmIdentifier that MUST be used when reconstructing SubjectPublicKeyInfo objects for each component public key, which may be required for example if cryptographic library requires the public key in this form in order to process each component algorithm. The public key BIT STRING should be taken directly from the respective component of the CompositeKEMPublicKey.

ML-KEM-768

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-alg-ml-kem-768   -- (2.16.840.1.101.3.4.4.2)
    }

DER:
  30 0B 06 07 60 86 48 01 65 03 04 04 02

ML-KEM-1024

ASN.1:

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-alg-ml-kem-1024   -- (2.16.840.1.101.3.4.4.3)
    }

DER:
  30 0B 06 07 60 86 48 01 65 03 04 04 03

RSA-OAEP - all sizes

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-RSAES-OAEP,   -- (1.2.840.113549.1.1.7)
    parameters RSAES-OAEP-params {
         hashFunc      [0] id-sha256,  -- (2.16.840.1.101.3.4.2.1)
         maskGenFunc   [1] mgf1SHA256Identifier,
         pSourceFunc   [2] pSpecifiedEmpty  }
    }


where
      mgf1SHA256Identifier  AlgorithmIdentifier  ::=  {
                          algorithm id-mgf1,  -- (1.2.840.113549.1.1.8)
                          parameters sha256Identifier }


      sha256Identifier  AlgorithmIdentifier  ::=  { id-sha256, NULL }

DER:
 30 4D 06 09 2A 86 48 86 F7 0D 01 01 07 30 40 A0 0F 30 0D 06 09 60 86
 48 01 65 03 04 02 01 05 00 A1 1C 30 1A 06 09 2A 86 48 86 F7 0D 01 01
 08 30 0D 06 09 60 86 48 01 65 03 04 02 01 05 00 A2 0F 30 0D 06 09 2A
 86 48 86 F7 0D 01 01 09 04 00

ECDH NIST-P-384

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-ecPublicKey   -- (1.2.840.10045.2.1)
    parameters ANY ::= {
      AlgorithmIdentifier ::= {
        algorithm secp384r1    -- (1.3.132.0.34)
        }
      }
    }

DER:
  30 10 06 07 2A 86 48 CE 3D 02 01 06 05 2B 81 04 00 22

ECDH Brainpool-256

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-ecPublicKey   -- (1.2.840.10045.2.1)
    parameters ANY ::= {
      AlgorithmIdentifier ::= {
        algorithm brainpoolP256r1   -- (1.3.36.3.3.2.8.1.1.7)
        }
      }
    }

DER:
  30 14 06 07 2A 86 48 CE 3D 02 01 06 09 2B 24 03 03 02 08 01 01 07

ECDH Brainpool-384

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-ecPublicKey   -- (1.2.840.10045.2.1)
    parameters ANY ::= {
      AlgorithmIdentifier ::= {
        algorithm brainpoolP384r1   -- (1.3.36.3.3.2.8.1.1.11)
        }
      }
    }

DER:
  30 14 06 07 2A 86 48 CE 3D 02 01 06 09 2B 24 03 03 02 08 01 01 0B

X25519

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-X25519   -- (1.3.101.110)
    }

DER:
  30 05 06 03 2B 65 6E

X448

ASN.1:
  algorithm AlgorithmIdentifier ::= {
    algorithm id-X448   -- (1.3.101.111)
    }

DER:
  30 05 06 03 2B 65 6F

Appendix C. Implementation Considerations

C.1. FIPS Certification

For reference, the KEM Combiner used in Composite KEM is:

ss = KDF(mlkemSS || tradSS || tradCT || tradPK || Domain)

where KDF is either SHA3 or HKDF-SHA2.

NIST SP 800-227 [SP-800-227idp], which at the time of writing is in its initial public draft period, allows hybrid key combiners of the following form:

K ← KDM(S1‖S2‖ · · · ‖St , OtherInput) (14)

The key derivation method KDM can take one of two forms, either

K ← KDF(Z‖OtherInput) (12)

or

K ← Expand(Extract(salt, Z), OtherInput) (13)

The Composite KEM variants that use SHA3 as a combiner fit form (12) while the variants that use HKDF-SHA2 fit form (13).

In terms of the order of inputs, Composite KEM places the two shared secret keys mlkemSS || tradSS at the beggining of the KDF input such that all other inputs tradCT || tradPK || Domain can be considered part of OtherInput for the purposes of FIPS certification. [SP-800-227ipd] adds an important stipulation that was not present in earlier NIST specifications:

  • This publication approves the use of the key combiner (14) for any t > 1, so long as at least one shared secret (i.e., S_j for some j) is a shared secret generated from the key- establishment methods of SP 800-56A or SP 800-56B, or an approved KEM.

This means that although Composite KEM always places the shared secret key from ML-KEM in the first slot, a Composite KEM can be FIPS certified so long as either component is FIPS certified. This is important for several reasons. First, in the early stages of PQC migration, composites allow for a non-FIPS certified ML-KEM implementation to be added to a module that already has a FIPS certified traditional component, and the resulting composite can be FIPS certified. Second, when eventually RSA and Elliptic Curve are no longer FIPS-allowed, the composite can retain its FIPS certified status on the strength of the ML-KEM component. Third, while this is outside the scope of this document, the general composite construction could be used to create FIPS certified algorithms that contain a component algorithm from a different jurisdiction.

C.1.1. FIPS certification of Combiner Function

TODO: update this to NIST SP 800-227, once it is published.

One of the primary NIST documents which is relevant for certification of a composite algorithm is NIST SP.800-56Cr2 [SP.800-56Cr2] by using the allowed "hybrid" shared secret of the form Z' = Z || T. Compliance is achieved in the following way:

[SP.800-56Cr2] section 4 "One-Step Key Derivation" requires a counter which begins at the 4-byte value 0x00000001. However, the counter is allowed to be omitted when the hash function is executed only once, as specified on page 159 of the FIPS 140-3 Implementation Guidance [FIPS-140-3-IG].

The HKDF-SHA2 options can be certified under [SP.800-56Cr2] One-Step Key Derivation Option 2: H(x) = HMAC-hash(salt, x) where salt is the empty (0 octet) string, which will internally be mapped to the zero vector 0x00..00 of the correct input size for the underlying hash function in order to satisfy the requirement in [SP.800-56Cr2] that "in the absence of an agreed-upon alternative – the default_salt shall be an all-zero byte string whose bit length equals that specified as the bit length of an input block for the hash function, hash". Note that since the desired shared secret key output length of 256 bits for all security levels aligns with the block size of SHA256, we do not need to use the HKDF-Extract step specified in [RFC5869], which further simplifies FIPS certification by allowing us to use the One-Step KDF rather than the Two-Step KDF from [SP.800-56Cr2].

The SHA3 options can be certified under [SP.800-56Cr2] One-Step Key Derivation Option 1: H(x) = hash(x).

C.2. Backwards Compatibility

As noted in the introduction, the post-quantum cryptographic migration will face challenges in both ensuring cryptographic strength against adversaries of unknown capabilities, as well as providing ease of migration. The composite mechanisms defined in this document primarily address cryptographic strength, however this section contains notes on how backwards compatibility may be obtained.

The term "ease of migration" is used here to mean that existing systems can be gracefully transitioned to the new technology without requiring large service disruptions or expensive upgrades. The term "backwards compatibility" is used here to mean something more specific; that existing systems as they are deployed today can inter-operate with the upgraded systems of the future.

These migration and interoperability concerns need to be thought about in the context of various types of protocols that make use of X.509 and PKIX with relation to key establishment and content encryption, from online negotiated protocols such as TLS 1.3 [RFC8446] and IKEv2 [RFC7296], to non-negotiated asynchronous protocols such as S/MIME signed email [RFC8551], as well as myriad other standardized and proprietary protocols and applications that leverage CMS [RFC5652] encrypted structures.

C.3. Decapsulation Requires the Public Key

ML-KEM always requires the public key in order to perform various steps of the Fujisaki-Okamoto decapsulation [FIPS.203], and for this reason the private key encoding specified in FIPS 203 includes the public key. Therefore it is not required to carry it in the OneAsymmetricKey.publicKey field, which remains optional, but is strictly speaking redundant since an ML-KEM public key can be parsed from an ML-KEM private key, and thus populating the OneAsymmetricKey.publicKey field would mean that two copies of the public key data are transmitted.

With regard to the traditional algorithms, RSA or Elliptic Curve, in order to achieve the public-key binding property the KEM combiner used to form the Composite ML-KEM, the combiner requires the traditional public key as input to the KDF that derives the output shared secret. Therefore it is required to carry the public key within the respective OneAsymmetricKey.publicKey as per the private key encoding given in Section 5.2. Implementers who choose to use a different private key encoding than the one specified in this document MUST consider how to provide the component public keys to the decapsulate routine. While some implementations might contain routines to computationally derive the public key from the private key, it is not guaranteed that all implementations will support this; for this reason the interoperable composite private key format given in this document in Section 5.2 requires the public key of the traditional component to be included.

Appendix D. Comparison with other Hybrid KEMs

D.1. X-Wing

This specification borrows extensively from the analysis and KEM combiner construction presented in [X-Wing]. In particular, X-Wing and id-MLKEM768-X25519-SHA3-256 are largely interchangeable. The one difference is that X-Wing uses a combined KeyGen function to generate the two component private keys from the same seed, which gives some additional binding properies. However, using a derived value as the seed for ML-KEM.KeyGen_internal() is, at time of writing, explicitely disallowed by [FIPS.203] which makes it impossible to create a FIPS-compliant implentation of X-Wing KeyGen / private key import. For this reason, this specification keeps the key generatation for both components separate so that implementers are free to use an existing certified hardware or software module for one or both components.

Due to the difference in key generation and security properties, X-Wing and id-MLKEM768-X25519-SHA3-256 have been registered as separate algorithms with separate OIDs, and they use a different domain separator string in order to ensure that their ciphertexts are not inter-compatible.

D.2. ETSI CatKDF

[ETSI.TS.103.744] section 8.2 defines CatKDF as:

1) Form secret = psk || k1 || k 2 || … || k n.
2) Set f_context = f(context, MA, MB), where f is a context formatting function.
3) key_material = KDF(secret, label, f_context, length).
4) Return key_material.

MA shall contain all of the public keys.
MB shall contain all of the corresponding public keys and ciphertexts.

The main difference between the Composite KEM combiner and the ETSI CatKDF combiner is that CatKDF makes the more conservative choice to bind the public keys and ciphertexts of both components, while Composite KEM follows the analysis presented in [X-Wing] that while preserving the security properties of the traditional component requires binding the public key and ciphertext of the traditional component, it is not necessary to do so for ML-KEM thanks to the rejection sampling step of the Fujisaki-Okamoto transform.

Additionally, ETSI CatKDF uses HKDF [RFC5869] as the KDF which aligns with some of the variants in this specification, but not the ones that use SHA3.

Appendix E. Test Vectors

The following test vectors are provided in a format similar to the NIST ACVP Known-Answer-Tests (KATs).

The structure is that a global cacert is provided which is used to sign each KEM certificate. Within each test case there are the following values:

Implementers should be able to perform the following tests using the test vectors below:

  1. Load the public key ek or certificate x5c and perform an encapsulation for it.

  2. Load the decapsulation private key dk and the ciphertext c and ensure that the same shared secret key k can be derived.

Test vectors are provided for each underlying component in isolation for the purposes of debugging.

Due to the length of the test vectors, you may prefer to retrieve them from GitHub. The reference implementation that generated them is also available:

https://github.com/lamps-wg/draft-composite-kem/tree/main/src

{
"cacert": "MIIVpzCCCKSgAwIBAgIUJFpptDm8MVjmw9zRrtrAK2MC9K8wCwYJYIZ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"tests": [
{
"tcId": "id-X25519",
"ek":
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"dk": "yLVo/qfSSGO5rZgHIHuOk55E1Hm54FMLSM8bJW5BVFk=",

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"k":
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},
{
"tcId":
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}
]
}

Appendix F. Intellectual Property Considerations

The following IPR Disclosure relates to this draft:

https://datatracker.ietf.org/ipr/3588/

EDNOTE TODO: Check with Max Pala whether this IPR actually applies to this draft.

Appendix G. Contributors and Acknowledgments

This document incorporates contributions and comments from a large group of experts. The Editors would especially like to acknowledge the expertise and tireless dedication of the following people, who attended many long meetings and generated millions of bytes of electronic mail and VOIP traffic over the past year in pursuit of this document:

Serge Mister (Entrust), Ali Noman (Entrust), Peter C. (UK NCSC), Sophie Schmieg (Google), Deirdre Connolly (SandboxAQ), Falko Strenzke (MTG AG), Dan van Geest (Crypto Next), Piotr Popis (Enigma), and Douglas Stebila (University of Waterloo).

Thanks to Giacomo Pope (github.com/GiacomoPope) whose ML-DSA and ML-KEM implementation was used to generate the test vectors.

We are grateful to all, including any contributors who may have been inadvertently omitted from this list.

This document borrows text from similar documents, including those referenced below. Thanks go to the authors of those documents. "Copying always makes things easier and less error prone" - [RFC8411].

Authors' Addresses

Mike Ounsworth
Entrust Limited
2500 Solandt Road – Suite 100
Ottawa, Ontario K2K 3G5
Canada
John Gray
Entrust Limited
2500 Solandt Road – Suite 100
Ottawa, Ontario K2K 3G5
Canada
Massimiliano Pala
OpenCA Labs
New York City, New York,
United States of America
Jan Klaussner
Bundesdruckerei GmbH
Kommandantenstr. 18
10969 Berlin
Germany
Scott Fluhrer
Cisco Systems