| Internet-Draft | ML-KEM in Certificates | March 2025 |
| Turner, et al. | Expires 11 September 2025 | [Page] |
The Module-Lattice-Based Key-Encapsulation Mechanism (ML-KEM) is a quantum-resistant key-encapsulation mechanism (KEM). This document describes the conventions for using the ML-KEM in X.509 Public Key Infrastructure. The conventions for the subject public keys and private keys are also described.¶
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/kyber-certificates/#go.draft-ietf-lamps-kyber-certificates.html. Status information for this document may be found at https://datatracker.ietf.org/doc/draft-ietf-lamps-kyber-certificates/.¶
Discussion of this document takes place on the Limited Additional Mechanisms for PKIX and SMIME (lamps) Working Group mailing list (mailto:spasm@ietf.org), which is archived at https://mailarchive.ietf.org/arch/browse/spasm/. Subscribe at https://www.ietf.org/mailman/listinfo/spasm/.¶
Source for this draft and an issue tracker can be found at https://github.com/lamps-wg/kyber-certificates.¶
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Copyright (c) 2025 IETF Trust and the persons identified as the document authors. All rights reserved.¶
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The Module-Lattice-Based Key-Encapsulation Mechanism (ML-KEM) standardized in [FIPS203] is a quantum-resistant key-encapsulation mechanism (KEM) standardized by the US National Institute of Standards and Technology (NIST) PQC Project [NIST-PQC]. Prior to standardization, the earlier versions of the mechanism were known as Kyber. ML-KEM and Kyber are not compatible. This document specifies the use of ML-KEM in Public Key Infrastructure X.509 (PKIX) certificates [RFC5280] at three security levels: ML-KEM-512, ML-KEM-768, and ML-KEM-1024, using object identifiers assigned by NIST. The private key format is also specified.¶
ML-KEM certificates are used in protocols where the public key is used to generate and encapsulate a shared secret used to derive a symmetric key used to encrypt a payload; see [I-D.ietf-lamps-cms-kyber]. To be used in TLS, ML-KEM certificates could only be used as end-entity identity certificates and would require significant updates to the protocol; see [I-D.celi-wiggers-tls-authkem].¶
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.¶
The AlgorithmIdentifier type is defined in [RFC5912] as follows:¶
AlgorithmIdentifier{ALGORITHM-TYPE, ALGORITHM-TYPE:AlgorithmSet} ::=
SEQUENCE {
algorithm ALGORITHM-TYPE.&id({AlgorithmSet}),
parameters ALGORITHM-TYPE.
&Params({AlgorithmSet}{@algorithm}) OPTIONAL
}
¶
The fields in AlgorithmIdentifier have the following meanings:¶
algorithm identifies the cryptographic algorithm with an object identifier.¶
parameters, which are optional, are the associated parameters for the algorithm identifier in the algorithm field.¶
The AlgorithmIdentifier for an ML-KEM public key MUST use one of the id-alg-ml-kem object identifiers listed below, based on the security level. The parameters field of the AlgorithmIdentifier for the ML-KEM public key MUST be absent.¶
When any of the ML-KEM AlgorithmIdentifiers appear in the SubjectPublicKeyInfo field of an X.509 certificate, the key usage certificate extension MUST only contain keyEncipherment Section 4.2.1.3 of [RFC5280].¶
nistAlgorithms OBJECT IDENTIFIER ::= { joint-iso-ccitt(2)
country(16) us(840) organization(1) gov(101) csor(3)
nistAlgorithm(4) }
kems OBJECT IDENTIFIER ::= { nistAlgorithms 4 }
id-alg-ml-kem-512 OBJECT IDENTIFIER ::= { kems 1 }
id-alg-ml-kem-768 OBJECT IDENTIFIER ::= { kems 2 }
id-alg-ml-kem-1024 OBJECT IDENTIFIER ::= { kems 3 }
pk-ml-kem-512 PUBLIC-KEY ::= {
IDENTIFIER id-alg-ml-kem-512
-- KEY no ASN.1 wrapping --
PARAMS ARE absent
CERT-KEY-USAGE { keyEncipherment }
--- PRIVATE-KEY no ASN.1 wrapping --
}
pk-ml-kem-768 PUBLIC-KEY ::= {
IDENTIFIER id-alg-ml-kem-768
-- KEY no ASN.1 wrapping --
PARAMS ARE absent
CERT-KEY-USAGE { keyEncipherment }
--- PRIVATE-KEY no ASN.1 wrapping --
}
pk-ml-kem-1024 PUBLIC-KEY ::= {
IDENTIFIER id-alg-ml-kem-1024
-- KEY no ASN.1 wrapping --
PARAMS ARE absent
CERT-KEY-USAGE { keyEncipherment }
--- PRIVATE-KEY no ASN.1 wrapping --
}
ML-KEM-PublicKey ::= OCTET STRING (SIZE (800 | 1184 | 1568))
ML-KEM-PrivateKey ::= OCTET STRING (SIZE (64))
¶
No additional encoding of the ML-KEM public key value is applied in the SubjectPublicKeyInfo field of an X.509 certificate [RFC5280]. However, whenever it appears outside of a certificate, it MAY be encoded as an OCTET STRING by using the ML-KEM-PublicKey type.¶
No additional encoding of the ML-KEM private key value is applied in the PrivateKeyInfo field of the OneAsymmetricKey type of an Asymmetric Key Package [RFC5958]. However, whenever it appears outside of a Asymmetric Key Package, it MAY be encoded as an OCTET STRING by using the ML-KEM-PrivateKey type.¶
In the X.509 certificate, the subjectPublicKeyInfo field has the SubjectPublicKeyInfo type, which has the following ASN.1 syntax:¶
SubjectPublicKeyInfo {PUBLIC-KEY: IOSet} ::= SEQUENCE {
algorithm AlgorithmIdentifier {PUBLIC-KEY, {IOSet}},
subjectPublicKey BIT STRING
}
¶
The fields in SubjectPublicKeyInfo have the following meaning:¶
algorithm is the algorithm identifier and parameters for the public key (see above).¶
subjectPublicKey contains the byte stream of the public key.¶
Appendix C.2 contains examples for ML-KEM public keys encoded using the textual encoding defined in [RFC7468].¶
In short, an ML-KEM private key is encoded by storing its 64-octet seed in the privateKey field as follows.¶
[FIPS203] specifies two formats for an ML-KEM private key: a 64-octet
seed and an (expanded) private key, which is referred to as the
decapsulation key. The expanded private key (and public key)
is computed from the seed using ML-KEM.KeyGen_internal(d,z) (algorithm 16)
using the first 32 octets as d and the remaining 32 octets as z.¶
A keypair is generated by sampling 64 octets uniformly at random
for the seed (private key) from a cryptographically secure
pseudorandom number generator (CSPRNGs). The public key can then
be computed using ML-KEM.KeyGen_internal(d,z) as described earlier.¶
"Asymmetric Key Packages" [RFC5958] describes how to encode a private key in a structure that both identifies which algorithm the private key is for and allows for the public key and additional attributes about the key to be included as well. For illustration, the ASN.1 structure OneAsymmetricKey is replicated below.¶
OneAsymmetricKey ::= SEQUENCE {
version Version,
privateKeyAlgorithm SEQUENCE {
algorithm PUBLIC-KEY.&id({PublicKeySet}),
parameters PUBLIC-KEY.&Params({PublicKeySet}
{@privateKeyAlgorithm.algorithm})
OPTIONAL}
privateKey OCTET STRING (CONTAINING
PUBLIC-KEY.&PrivateKey({PublicKeySet}
{@privateKeyAlgorithm.algorithm})),
attributes [0] Attributes OPTIONAL,
...,
[[2: publicKey [1] BIT STRING (CONTAINING
PUBLIC-KEY.&Params({PublicKeySet}
{@privateKeyAlgorithm.algorithm})
OPTIONAL,
...
}
¶
When used in a OneAsymmetricKey type, the privateKey OCTET STRING contains the raw octet string encoding of the 64-octet seed. The publicKey field SHOULD be omitted because the public key can be computed as noted earlier in this section.¶
Appendix C.1 contains examples for ML-KEM private keys encoded using the textual encoding defined in [RFC7468].¶
Though section 7.1 of [FIPS203] mentions the potential to save seed values for future expansion, Algorithm 19 does not make the seed values available to a caller for serialization. Similarly, the algorithm that expands seed values is not listed as one of the "main algorithms" and features "internal" in the name even though it is clear that it is allowed to be exposed externally for the purposes of expanding a key from a seed. Below are possible ways to extend the APIs defined in [FIPS203] to support serialization of seed values as private keys.¶
To support serialization of seed values as private keys, let Algorithm 19b denote the same procedure as Algorithm 19 in [FIPS203] except it returns (ek, dk, d, z) on line 7. Additionally, Algorithm 16 should be promoted to be a "main algorithm" for external use in expanding seed values.¶
Note also that unlike other private key compression methods in other algorithms, expanding a private key from a seed is a one-way function, meaning that once a full key is expanded from seed and the seed discarded, the seed cannot be re-created even if the full expanded private key is available. For this reason it is RECOMMENDED that implementations retain and export the seed, even when also exporting the expanded key.¶
When receiving a private key that contains both the seed and the expandedKey, the recipient SHOULD perform a seed consistency check to ensure that the sender properly generated the private key.¶
If the check is done and the seed and the expandedKey are not consistent, the recipient MUST reject the private key as malformed.¶
The Security Considerations section of [RFC5280] applies to this specification as well.¶
Protection of the private-key information, i.e., the seed, is vital to public-key cryptography. Disclosure of the private-key material to another entity can lead to masquerades.¶
For ML-KEM specific security considerations refer to [I-D.sfluhrer-cfrg-ml-kem-security-considerations].¶
The generation of private keys relies on random numbers. The use of inadequate pseudo-random number generators (PRNGs) to generate these values can result in little or no security. An attacker may find it much easier to reproduce the PRNG environment that produced the keys, searching the resulting small set of possibilities, rather than brute force searching the whole key space. The generation of quality random numbers is difficult, and [RFC4086] offers important guidance in this area.¶
ML-KEM key generation as standardized in [FIPS203] has specific requirements around randomness generation, described in section 3.3, 'Randomness generation'.¶
Many protocols only rely on the IND-CCA security of a KEM. Some (implicitly) require further binding properties, formalized in [CDM23]. The private key format influences these binding properties. Per [KEMMY24], ML-KEM is LEAK-BIND-K-PK-secure and LEAK-BIND-K-CT-secure when using the expanded private key format, but not MAL-BIND-K-CT nor MAL-BIND-K-PK. Using the 64-byte seed format provides a step up in binding security, additionally providing MAL-BIND-K-CT security, but still not MAL-BIND-K-PK. For more guidance, see [I-D.sfluhrer-cfrg-ml-kem-security-considerations].¶
For the ASN.1 Module in Appendix A, IANA is requested to assign an object identifier (OID) for the module identifier (TBD) with a Description of "id-mod-x509-ml-kem-2025". The OID for the module should be allocated in the "SMI Security for PKIX Module Identifier" registry (1.3.6.1.5.5.7.0).¶
This appendix includes the ASN.1 module [X680] for the ML-KEM. Note that as per [RFC5280], certificates use the Distinguished Encoding Rules; see [X690]. This module imports objects from [RFC5912] and [RFC9629].¶
<CODE BEGINS>
X509-ML-KEM-2025
{ iso(1) identified-organization(3) dod(6)
internet(1) security(5) mechanisms(5) pkix(7) id-mod(0)
id-mod-x509-ml-kem-2025(TBD) }
DEFINITIONS IMPLICIT TAGS ::= BEGIN
EXPORTS ALL;
IMPORTS
PUBLIC-KEY
FROM AlgorithmInformation-2009 -- [RFC 5912]
{ 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 -- [RFC 9629]
{ iso(1) identified-organization(3) dod(6) internet(1)
security(5) mechanisms(5) pkix(7) id-mod(0)
id-mod-kemAlgorithmInformation-2023(109) };
--
-- ML-KEM Identifiers
--
nistAlgorithms OBJECT IDENTIFIER ::= { joint-iso-ccitt(2)
country(16) us(840) organization(1) gov(101) csor(3)
nistAlgorithm(4) }
kems OBJECT IDENTIFIER ::= { nistAlgorithms 4 }
id-alg-ml-kem-512 OBJECT IDENTIFIER ::= { kems 1 }
id-alg-ml-kem-768 OBJECT IDENTIFIER ::= { kems 2 }
id-alg-ml-kem-1024 OBJECT IDENTIFIER ::= { kems 3 }
--
-- Public Key Algorithms
--
PublicKeys PUBLIC-KEY ::= {
-- This expands PublicKeys from [RFC 5912]
pk-ml-kem-512 |
pk-ml-kem-768 |
pk-ml-kem-1024,
...
}
--
-- ML-KEM Public Keys
--
pk-ml-kem-512 PUBLIC-KEY ::= {
IDENTIFIER id-alg-ml-kem-512
-- KEY no ASN.1 wrapping; 800 octets --
PARAMS ARE absent
CERT-KEY-USAGE { keyEncipherment }
PRIVATE-KEY ML-KEM-512-PrivateKey
}
ML-KEM-512-PrivateKey ::= CHOICE {
seed [0] OCTET STRING (SIZE (64)),
expandedKey OCTET STRING (SIZE (1632)),
both SEQUENCE {
seed OCTET STRING (SIZE (64)),
expandedKey OCTET STRING (SIZE (1632))
}
}
pk-ml-kem-768 PUBLIC-KEY ::= {
IDENTIFIER id-alg-ml-kem-768
-- KEY no ASN.1 wrapping; 1184 octets --
PARAMS ARE absent
CERT-KEY-USAGE { keyEncipherment }
PRIVATE-KEY ML-KEM-768-PrivateKey
}
ML-KEM-768-PrivateKey ::= CHOICE {
seed [0] OCTET STRING (SIZE (64)),
expandedKey OCTET STRING (SIZE (2400)),
both SEQUENCE {
seed OCTET STRING (SIZE (64)),
expandedKey OCTET STRING (SIZE (2400))
}
}
pk-ml-kem-1024 PUBLIC-KEY ::= {
IDENTIFIER id-alg-ml-kem-1024
-- KEY no ASN.1 wrapping; 1568 octets --
PARAMS ARE absent
CERT-KEY-USAGE { keyEncipherment }
PRIVATE-KEY ML-KEM-1024-PrivateKey
}
ML-KEM-1024-PrivateKey ::= CHOICE {
seed [0] OCTET STRING (SIZE (64)),
expandedKey OCTET STRING (SIZE (3168)),
both SEQUENCE {
seed OCTET STRING (SIZE (64)),
expandedKey OCTET STRING (SIZE (3168))
}
}
ML-KEM-512-PublicKey ::= OCTET STRING (SIZE (800))
ML-KEM-768-PublicKey ::= OCTET STRING (SIZE (1184))
ML-KEM-1024-PublicKey ::= OCTET STRING (SIZE (1568))
END
<CODE ENDS>¶
Instead of defining the strength of a quantum algorithm in a traditional manner using the imprecise notion of bits of security, NIST has defined security levels by picking a reference scheme, which NIST expects to offer notable levels of resistance to both quantum and classical attack. To wit, a KEM algorithm that achieves NIST PQC security must require computational resources to break IND-CCA security comparable or greater than that required for key search on AES-128, AES-192, and AES-256 for Levels 1, 3, and 5, respectively. Levels 2 and 4 use collision search for SHA-256 and SHA-384 as reference.¶
| Level | Parameter Set | Encap. Key | Decap. Key | Ciphertext | Secret |
|---|---|---|---|---|---|
| 1 | ML-KEM-512 | 800 | 1632 | 768 | 32 |
| 3 | ML-KEM-768 | 1184 | 2400 | 1952 | 32 |
| 5 | ML-KEM-1024 | 1568 | 3168 | 2592 | 32 |
This appendix contains examples of ML-KEM public keys, private keys and certificates.¶
The following examples show ML-KEM private keys in different formats,
all derived from the same seed 000102…1e1f. For each security level,
we show the seed-only format (using a context-specific [0] primitive
tag with an implicit encoding of OCTET STRING), the expanded format,
and both formats together.¶
-----BEGIN PRIVATE KEY----- MFQCAQAwCwYJYIZIAWUDBAQBBEKAQAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZ GhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj8= -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
OCTET_STRING {
[0 PRIMITIVE] { `000102030405060708090a0b0c0d0e0f10111213141
5161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f30313233343
5363738393a3b3c3d3e3f` }
}
}
¶
-----BEGIN PRIVATE KEY----- MIIGeAIBADALBglghkgBZQMEBAEEggZkBIIGYHBVT9Q2NE8nhbGzsbrBhLZnkAMz bCbxWn3oeMSCXGvgPzxKSA91t0hqrTHToAUYYj/SB6tSjdYnIUlYNa4AYsNnt0px uvEKrQ6KKQIHa+MTSL6xXMwJV83rtK/yJnVrvGAbZWireErLrrNHAvD4aiYgIRiy KyP4NVh3bHnBTbqYM3nIA+DcwxYKEXVwMOacaRl5jYHraYqaRIOpnlpcssMcmmYX mfPMiceQcG6gQWKQRdQqg67YiGDjlMaRh+IQXSjMFOw5NZLWfdAKpD/otOrkQUAC hmtccTxqjX0Wz3i4GdbxLp5adCM5CPCxXjxLqDKcXN2lXISSjjqoBj5aqWdkA/kX NbEQEMf1kwkTZNyGRFvIBIQKmiFyQhJGn4p7DOCsaY64bK05p/SCTZpRY6rCHuaA iwU8ij+ssLZ0S1Jiu8smpD9mTIcytkz8es8JlgX0HHlgYJdqxDODP+ADQ/sYKDAK QkdBEW5LRbsnbqgRKaDbTG5gvOYREB6MYlR0kl4CImeTCKPncI0Zcqe0I+sjKFHD bS7VPT7Tu3UAY3BhpdwikvocRmwHNUaDMovsLB7Sy1yZt47KCWkDjPfDTdEYck4x yuCGIGs0MCtSD10Xet7Vs8zgKszoCOomvMByYl/bk/F0WKX8HU2jlDgKH1fpzGYQ lDigdfDSgT/MShmcx22zgj8nCwBhWUGSlAQRo3/7r64sFQFlzsXGv3PFlfuSzRUx JgfaBwd4ZSvZlEvEi8fRpTQzi60LrWZWxdUCznhQqxWHJE7rWPQ5q14IV0pxjIqs PXfHmLuhVCczvnNEjyP7cMDlNTonyIMixSGEk6+7OAhkNNbWCla6iH3UmMOrJqCH CZOBWqakCXXyGK3KFYLWT/yGUvuzqab7wwT5GUX6Sq7yh4/XFd9wET0jefRIhvgS yD/ytxmmnh7HSuSxWszTrtWlPOdqewmCRxYzuXPLQKGgAV0KQk+hGkecAjAXQ20q KQDpk+taCgZ0AMf0qt8gH8T6MSZKY7rpXMjWXDmVgV5ZfRBDVc8pqlMzyTJRhp1b zb5IcST2Ari2pmwWxHYWSK12XPXYAGtRXpBafwrAdrDGLvoygVPnylcBaZ8TBfHm vG+QsOSbaTUSts6ZKouAFt38GmYsfj+WGcvYad13GvMIlszVkYrGy3dGbF53mZbW f/mqvJdQPyx7fi0ADYZFD7GAfKTKvaRlgloxx4mht6SRqzhydl0yDQtxkg+iE8lA k0Frg7gSTmn2XmLLUADcw3qpoP/3OXDEdy81fSQYnKb1MFVowOI3ajdipoxgXlY8 XSCVcuD8dTLKKUcpU1VntfxBPF6HktJGRTbMgI+YrddGZPFBVm+QFqkKVBgpqYoE ZM5BqLtEwtT6PCwglGByjvFKGnxMm5jRIgO0zDUpFgqasteDj3/2tTrgWqMafWRr evpsRZMlJqPDdVYZvplMIRwqMcBbNEeDbLIVC+GCna5rBMVTXP9Ubjkrp5dBFyD5 JPSQpaxUlfITVtVQt4KmTBaItrZVvMeEIZekNML2Vjtbfwmni8xIgjJ4NWHRb0y6 tnVUAAUHgVcMZmBLgXrRJSKUc26LAYYaS1p0UZuLb+UUiaUHI5Llh2JscTd2V10z gGocjicyr5fCaA9RZmMxxOuLvAQxxPloMtrxs8RVKPuhU/bHixwZhwKUfM0zdyek b7U7oR3ly0GRNGhZUWy2rXJADzzyCbI2rvNaWArIfrPjD6/WaXPKin3SZ1r0H3oX thQzzRr4D3cIhp9mVIhJeYCxrBCgzctjagDthoGzXkKRJMqANQcluF+DperDpKPM FgCQPmUpNWC5szblrw1SnawaBIEZMCy3qbzBELlIUb8CEX8ZncSFqFK3Rz8JuDGm gx1bVMC3kNIlz2u5LZRiomzbM92lEjx6rw4moLg2Ve6ii/OoB0clAY/WuuS2Ac9h uqtxp6PTUZejQ+dLSicsEl1UCJZCbYW3lY07OKa6mH7DciXHtEzbEt3kU5tKsII2 NoPwS/egnMXEHf6DChsWLgsyQzQ2LwhKFEZ3IzRLrdAA+NjFN8SPmY8FMHzr0e3g uBw7xZoGWhttY7JsgvEB/2SAY7N24rtsW3RV9lWlDC/q2t4VDvoODm82WuogISIj JCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+Pw== -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
OCTET_STRING {
OCTET_STRING { `70554fd436344f2785b1b3b1bac184b6679003336c26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fa328153e7ca5701699f1305f1e6bc6f90b0e49b693512b6ce992a8b8016ddfc
1a662c7e3f9619cbd869dd771af30896ccd5918ac6cb77466c5e779996d67ff9
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a0fff73970c4772f357d24189ca6f5305568c0e2376a3762a68c605e563c5d20
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363738393a3b3c3d3e3f` }
}
}
¶
-----BEGIN PRIVATE KEY----- MIIGvgIBADALBglghkgBZQMEBAEEggaqMIIGpgRAAAECAwQFBgcICQoLDA0ODxAR EhMUFRYXGBkaGxwdHh8gISIjJCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+PwSC BmBwVU/UNjRPJ4Wxs7G6wYS2Z5ADM2wm8Vp96HjEglxr4D88SkgPdbdIaq0x06AF GGI/0gerUo3WJyFJWDWuAGLDZ7dKcbrxCq0OiikCB2vjE0i+sVzMCVfN67Sv8iZ1 a7xgG2Voq3hKy66zRwLw+GomICEYsisj+DVYd2x5wU26mDN5yAPg3MMWChF1cDDm nGkZeY2B62mKmkSDqZ5aXLLDHJpmF5nzzInHkHBuoEFikEXUKoOu2Ihg45TGkYfi EF0ozBTsOTWS1n3QCqQ/6LTq5EFAAoZrXHE8ao19Fs94uBnW8S6eWnQjOQjwsV48 S6gynFzdpVyEko46qAY+WqlnZAP5FzWxEBDH9ZMJE2TchkRbyASECpohckISRp+K ewzgrGmOuGytOaf0gk2aUWOqwh7mgIsFPIo/rLC2dEtSYrvLJqQ/ZkyHMrZM/HrP CZYF9Bx5YGCXasQzgz/gA0P7GCgwCkJHQRFuS0W7J26oESmg20xuYLzmERAejGJU dJJeAiJnkwij53CNGXKntCPrIyhRw20u1T0+07t1AGNwYaXcIpL6HEZsBzVGgzKL 7Cwe0stcmbeOyglpA4z3w03RGHJOMcrghiBrNDArUg9dF3re1bPM4CrM6AjqJrzA cmJf25PxdFil/B1No5Q4Ch9X6cxmEJQ4oHXw0oE/zEoZnMdts4I/JwsAYVlBkpQE EaN/+6+uLBUBZc7Fxr9zxZX7ks0VMSYH2gcHeGUr2ZRLxIvH0aU0M4utC61mVsXV As54UKsVhyRO61j0OateCFdKcYyKrD13x5i7oVQnM75zRI8j+3DA5TU6J8iDIsUh hJOvuzgIZDTW1gpWuoh91JjDqyaghwmTgVqmpAl18hityhWC1k/8hlL7s6mm+8ME +RlF+kqu8oeP1xXfcBE9I3n0SIb4Esg/8rcZpp4ex0rksVrM067VpTznansJgkcW M7lzy0ChoAFdCkJPoRpHnAIwF0NtKikA6ZPrWgoGdADH9KrfIB/E+jEmSmO66VzI 1lw5lYFeWX0QQ1XPKapTM8kyUYadW82+SHEk9gK4tqZsFsR2Fkitdlz12ABrUV6Q Wn8KwHawxi76MoFT58pXAWmfEwXx5rxvkLDkm2k1ErbOmSqLgBbd/BpmLH4/lhnL 2GnddxrzCJbM1ZGKxst3Rmxed5mW1n/5qryXUD8se34tAA2GRQ+xgHykyr2kZYJa MceJobekkas4cnZdMg0LcZIPohPJQJNBa4O4Ek5p9l5iy1AA3MN6qaD/9zlwxHcv NX0kGJym9TBVaMDiN2o3YqaMYF5WPF0glXLg/HUyyilHKVNVZ7X8QTxeh5LSRkU2 zICPmK3XRmTxQVZvkBapClQYKamKBGTOQai7RMLU+jwsIJRgco7xShp8TJuY0SID tMw1KRYKmrLXg49/9rU64FqjGn1ka3r6bEWTJSajw3VWGb6ZTCEcKjHAWzRHg2yy FQvhgp2uawTFU1z/VG45K6eXQRcg+ST0kKWsVJXyE1bVULeCpkwWiLa2VbzHhCGX pDTC9lY7W38Jp4vMSIIyeDVh0W9MurZ1VAAFB4FXDGZgS4F60SUilHNuiwGGGkta dFGbi2/lFImlByOS5YdibHE3dlddM4BqHI4nMq+XwmgPUWZjMcTri7wEMcT5aDLa 8bPEVSj7oVP2x4scGYcClHzNM3cnpG+1O6Ed5ctBkTRoWVFstq1yQA888gmyNq7z WlgKyH6z4w+v1mlzyop90mda9B96F7YUM80a+A93CIafZlSISXmAsawQoM3LY2oA 7YaBs15CkSTKgDUHJbhfg6Xqw6SjzBYAkD5lKTVgubM25a8NUp2sGgSBGTAst6m8 wRC5SFG/AhF/GZ3EhahSt0c/CbgxpoMdW1TAt5DSJc9ruS2UYqJs2zPdpRI8eq8O JqC4NlXuoovzqAdHJQGP1rrktgHPYbqrcaej01GXo0PnS0onLBJdVAiWQm2Ft5WN Ozimuph+w3Ilx7RM2xLd5FObSrCCNjaD8Ev3oJzFxB3+gwobFi4LMkM0Ni8IShRG dyM0S63QAPjYxTfEj5mPBTB869Ht4LgcO8WaBlobbWOybILxAf9kgGOzduK7bFt0 VfZVpQwv6treFQ76Dg5vNlrqICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9 Pj8= -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
OCTET_STRING {
SEQUENCE {
OCTET_STRING { `000102030405060708090a0b0c0d0e0f1011121314
15161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
OCTET_STRING { `70554fd436344f2785b1b3b1bac184b6679003336c
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35363738393a3b3c3d3e3f` }
}
}
}
¶
-----BEGIN PRIVATE KEY----- MFQCAQAwCwYJYIZIAWUDBAQCBEKAQAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZ GhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj8= -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
OCTET_STRING {
[0 PRIMITIVE] { `000102030405060708090a0b0c0d0e0f10111213141
5161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f30313233343
5363738393a3b3c3d3e3f` }
}
}
¶
-----BEGIN PRIVATE KEY----- MIIJeAIBADALBglghkgBZQMEBAIEgglkBIIJYCfSp38zdW9hII7xE6voJZWHPUq8 cw5bXWeVKb9qTOtjg0JyMahhL0FVBRWsulLkjq2LlCgzu+aGXRPRSnnSxcPgfwoF bY3nqt/KugWMSTyAs3yrjFYnU7s7prbsgpf4heqnVA1TABWoRAblWxNmtXfiNs5Y om2KHrWkTVQjI8IWfZv0pH+YVpnKBbrkO43sYX8COAo4kK/UuMfsft4mVToCXzzl vF16YhMDBCNcsa1INrVmtbhjvZvbRaKESnBHtsjTg+RIUl4EC03IorSMbDfJbWLU Pz/YjiiBxAogXJ4kj2UrWSeBp3n4aIDyoUe2eGPzkcwaWpCMAJXgchIpHi74o265 qcDGBzIls0cDpK8Ek4LEdXPaaP3pJFrUROMbH721IfH2Hze8DO8pIGfmcNKKH/2Q T28RkKmWkYoTA3psq/PDc7+Cls03qzO6d0aAnMP4reGzY5vVe/zGllCqrx3hmPxM BGMpnlLEYXgMxCj8XQSlxRhQy6bCpSdDQGdXk92gm+RMKeY5XGX4XSoKfG30EeaR Gx8stsNRzS6HX1G2OL53YJfpPi8rL4PaC+70qoW6nnY6tkUCoMpSIunqtbO3CI7V IGDoyCablDpxqwrhxbG2h9LgGc+ANrz5v257rDqqNuQWYPqkVA8mSM2ToYnsXC3q cLrKqk/8kG+QgQ6htnvyTyx4z2uogarqYcBlK/+VsbrkQm0Xc7nMLKgsIeOMY247 HFIyRJhrC+ioP13Vzy1Udi+zxev1m46IUwKxzkcDPt92D04Cm+QLbVZrGd11is1c dBKHgTEkT5AXLFPyZmPCHZBTAdSLr5HJF8x3eenYgCzBDYmjcFCZoq06OoiWdDwR RGmAk74lfay2bceFIouRLI2WXRSqKDQsOsSpP++lMrIJRd3BAgE5wU1ji5CMTd3p oGRblbLkQU1Au3nwRBODDxWoc8KLtwWcJ0EAIBXyBAjwWOcVsL+ZW1OAt90yWgVq uX5lmivgzfbDNzHGg6Y0t3HoySoTmu5LsOSccHcyHUL8GZ98HymMpiXSI6XCY6A8 xIFZt4EmZbeGN+ThhyCywpprmfQnZqTLxNxQi6lLqDuJw6XHj4uya72beb64yBgk kPV5PuW5YBO3S34WninRYvExVGTqfXJDbYm3VRYRksgcwt0ci4u6eV70Ju4cwBw3 qqN7LP+LCjeLR8vQtNSTmM/CcSlZaZ+gvYzYRmasxh9UG4T6lrnIVOTnXpFErdtE uFZqV9+7VFzkI8AzRvKywakXgNFSqN4aTUycrN5zksmWiIzCOZwCw4szU634rKso OSTaAKBbduc4xyyTDWy6Ca4WiZD6of7yIm54CGHUFu/0AvT3WfxkirH5cQAQkIf5 bksUjSyzHkgFMU6gzZX7Aj6sDZiUdLpCAde0HSb1OUshfupbNLcaizeTHA5ZQnHg t8czJXJAIz57pzVgPkJah97ncHnjfLKKIXZFlM5TUNjaK2KgcXSUMDLsicmICcc7 ZCPTDB0oOnZqZNiXA8PWKbSXgo1IMgw0YhB5eimKoQ1CPI3aBp0CvFnmzfA6CWuL PaTKubgMpKFJB2cszvHsT68jSgvFt+nUc/KzEzs7JqHRdctnp4BZGWmcAvdlMbmc X4kYBwS7TKRTXFuJcmecZgoHxeUUuHAJyGLrj1FXaV77P8QKne9rgcHMAqJJrk8J StDZvTSFwcHGgIBSCnyMYyAyzuc4FU5cUXbAfaVgJHdqQw/nbqz2ZaP3uDIQIhW8 gvEJOcg1VwQzao+sHYHkuwSFql18dNa1m75cXpcqDYusQRtVtdVVfNaAoaj3G064 a8SMmgUJcxpUvZ1ykLJ5Y+Q3Lcmxmc/crAsBrNKKYjlREuTENkjWIsSMgjTQFEDo zDdskn8jpa/JrAR0xmInTkJFJchVLs47P+JlFt6QG8fVFb3olVjmJslcgLkzQvgB AATznmxslIccXjRMqzlmyDX5qWpZr9McQChrOLHBp4RwurlHUYk0RTzoZzapGfH1 ptUQqG9UVPw5gMtcdlvSvV97NrFBDWY1yM60fE3aDXaijqyTnHHDAkgEhmxxYmZY RCFjwsIhF+UKzvzmN4qYVlIwKk7wws4Mxxa3eW4ray43d9+hrD2iWaMbWptTD4y2 OKgaYqwwGEmrr5WnMBvaMAaJCb/bfmfbzLs4pVUaJbGjoPaFdIrVdT2IgPABbGJ0 hhZjhMVXH+I2WQA2TQODEeLYdds2ZoaTK17GAkMKNp6Hpu9cM4eGZXglvUwFes65 I+sJNeaQXmO0ztf4CFenc91ksVDSZhLqmsEgUtsgF78YQ8y0sygbaQ3HKK36hcAC gbjjwJKHM1+Fa0/CiS9povV5Ia2gGRTECYhmLVd2lmKnhjUbm2ZJPat5WU2YbeIQ DWW6D/TqWLgVONJKRDWiWPrCVASqf0H2WLE4UGXhWNy2ARVzJyD0BFmqrBXkBpU6 kKxSmX0czQcAYO/GXbnmUzVEZ/rVbscTyG51QMQjrPJmn1L6b0rGiI2HHvPoR8Ap qKr7uS4XskqgebH0GbphdbRCr7EZCdSla3CgM1soc5IYqnyTSOLDwvPrPRWkHmQX wN2Uv+shQZsxGnuxOhgLvoMyGKmmsXRHzIXyJYWVh6cwdwSay8/UTQ8CVDjhXRU4 Jw1Ybhv4MZKpRZz2PA6XL4UpdnmDHs8SFQmFHLg0D28Qew+hoO/Rs2qBibwIXE9c t4TlU/QbkY+AOXzhlW94W+43fKmqi+aZitowwmt8PYxrVSVMyWIDsgxCruCsTh67 QI5JqeP4edCrB4XrcCVCXRMFoimcAV4SDRY7DhlJTOVyU9AkbRgnRcuBl6t0OLPB u3lyvsWjBuujVnhVwBRpn+9lrlTHcKDYXBhADPZCrtxmB3e6SxOFAr1aeBL2IfhK SClrmN1DIrbxWCi4qPDgCoukSlPDqLFDVxsHQKvVZ9rxzenHnCBLbV4lnRdmoxu7 y05qBc9FAhdrMBwcL0Ekd1AVe87IXoCbMKTWDXdHzdD1uZqoyCaYdRd5OqqAgKCx JKhVjfcrvje3X07btr6CFtbGM/srIoDiURPYaV5DSBw+6zl+sZJQUim2eiAeqJPD 4ssy2ovDQvpN6gV4ok4W2Pj5ODqVt3BQ9Nn9L1cz7sHWPvPCPr+ZGBc2aacgISIj JCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+Pw== -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
OCTET_STRING {
OCTET_STRING { `27d2a77f33756f61208ef113abe82595873d4abc730e
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}
}
¶
-----BEGIN PRIVATE KEY----- MIIJvgIBADALBglghkgBZQMEBAIEggmqMIIJpgRAAAECAwQFBgcICQoLDA0ODxAR EhMUFRYXGBkaGxwdHh8gISIjJCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+PwSC CWAn0qd/M3VvYSCO8ROr6CWVhz1KvHMOW11nlSm/akzrY4NCcjGoYS9BVQUVrLpS 5I6ti5QoM7vmhl0T0Up50sXD4H8KBW2N56rfyroFjEk8gLN8q4xWJ1O7O6a27IKX +IXqp1QNUwAVqEQG5VsTZrV34jbOWKJtih61pE1UIyPCFn2b9KR/mFaZygW65DuN 7GF/AjgKOJCv1LjH7H7eJlU6Al885bxdemITAwQjXLGtSDa1ZrW4Y72b20WihEpw R7bI04PkSFJeBAtNyKK0jGw3yW1i1D8/2I4ogcQKIFyeJI9lK1kngad5+GiA8qFH tnhj85HMGlqQjACV4HISKR4u+KNuuanAxgcyJbNHA6SvBJOCxHVz2mj96SRa1ETj Gx+9tSHx9h83vAzvKSBn5nDSih/9kE9vEZCplpGKEwN6bKvzw3O/gpbNN6szundG gJzD+K3hs2Ob1Xv8xpZQqq8d4Zj8TARjKZ5SxGF4DMQo/F0EpcUYUMumwqUnQ0Bn V5PdoJvkTCnmOVxl+F0qCnxt9BHmkRsfLLbDUc0uh19Rtji+d2CX6T4vKy+D2gvu 9KqFup52OrZFAqDKUiLp6rWztwiO1SBg6Mgmm5Q6casK4cWxtofS4BnPgDa8+b9u e6w6qjbkFmD6pFQPJkjNk6GJ7Fwt6nC6yqpP/JBvkIEOobZ78k8seM9rqIGq6mHA ZSv/lbG65EJtF3O5zCyoLCHjjGNuOxxSMkSYawvoqD9d1c8tVHYvs8Xr9ZuOiFMC sc5HAz7fdg9OApvkC21WaxnddYrNXHQSh4ExJE+QFyxT8mZjwh2QUwHUi6+RyRfM d3np2IAswQ2Jo3BQmaKtOjqIlnQ8EURpgJO+JX2stm3HhSKLkSyNll0Uqig0LDrE qT/vpTKyCUXdwQIBOcFNY4uQjE3d6aBkW5Wy5EFNQLt58EQTgw8VqHPCi7cFnCdB ACAV8gQI8FjnFbC/mVtTgLfdMloFarl+ZZor4M32wzcxxoOmNLdx6MkqE5ruS7Dk nHB3Mh1C/BmffB8pjKYl0iOlwmOgPMSBWbeBJmW3hjfk4YcgssKaa5n0J2aky8Tc UIupS6g7icOlx4+Lsmu9m3m+uMgYJJD1eT7luWATt0t+Fp4p0WLxMVRk6n1yQ22J t1UWEZLIHMLdHIuLunle9CbuHMAcN6qjeyz/iwo3i0fL0LTUk5jPwnEpWWmfoL2M 2EZmrMYfVBuE+pa5yFTk516RRK3bRLhWalffu1Rc5CPAM0byssGpF4DRUqjeGk1M nKzec5LJloiMwjmcAsOLM1Ot+KyrKDkk2gCgW3bnOMcskw1sugmuFomQ+qH+8iJu eAhh1Bbv9AL091n8ZIqx+XEAEJCH+W5LFI0ssx5IBTFOoM2V+wI+rA2YlHS6QgHX tB0m9TlLIX7qWzS3Gos3kxwOWUJx4LfHMyVyQCM+e6c1YD5CWofe53B543yyiiF2 RZTOU1DY2itioHF0lDAy7InJiAnHO2Qj0wwdKDp2amTYlwPD1im0l4KNSDIMNGIQ eXopiqENQjyN2gadArxZ5s3wOglriz2kyrm4DKShSQdnLM7x7E+vI0oLxbfp1HPy sxM7Oyah0XXLZ6eAWRlpnAL3ZTG5nF+JGAcEu0ykU1xbiXJnnGYKB8XlFLhwCchi 649RV2le+z/ECp3va4HBzAKiSa5PCUrQ2b00hcHBxoCAUgp8jGMgMs7nOBVOXFF2 wH2lYCR3akMP526s9mWj97gyECIVvILxCTnINVcEM2qPrB2B5LsEhapdfHTWtZu+ XF6XKg2LrEEbVbXVVXzWgKGo9xtOuGvEjJoFCXMaVL2dcpCyeWPkNy3JsZnP3KwL AazSimI5URLkxDZI1iLEjII00BRA6Mw3bJJ/I6WvyawEdMZiJ05CRSXIVS7OOz/i ZRbekBvH1RW96JVY5ibJXIC5M0L4AQAE855sbJSHHF40TKs5Zsg1+alqWa/THEAo azixwaeEcLq5R1GJNEU86Gc2qRnx9abVEKhvVFT8OYDLXHZb0r1fezaxQQ1mNcjO tHxN2g12oo6sk5xxwwJIBIZscWJmWEQhY8LCIRflCs785jeKmFZSMCpO8MLODMcW t3luK2suN3ffoaw9olmjG1qbUw+MtjioGmKsMBhJq6+VpzAb2jAGiQm/235n28y7 OKVVGiWxo6D2hXSK1XU9iIDwAWxidIYWY4TFVx/iNlkANk0DgxHi2HXbNmaGkyte xgJDCjaeh6bvXDOHhmV4Jb1MBXrOuSPrCTXmkF5jtM7X+AhXp3PdZLFQ0mYS6prB IFLbIBe/GEPMtLMoG2kNxyit+oXAAoG448CShzNfhWtPwokvaaL1eSGtoBkUxAmI Zi1XdpZip4Y1G5tmST2reVlNmG3iEA1lug/06li4FTjSSkQ1olj6wlQEqn9B9lix OFBl4VjctgEVcycg9ARZqqwV5AaVOpCsUpl9HM0HAGDvxl255lM1RGf61W7HE8hu dUDEI6zyZp9S+m9KxoiNhx7z6EfAKaiq+7kuF7JKoHmx9Bm6YXW0Qq+xGQnUpWtw oDNbKHOSGKp8k0jiw8Lz6z0VpB5kF8DdlL/rIUGbMRp7sToYC76DMhipprF0R8yF 8iWFlYenMHcEmsvP1E0PAlQ44V0VOCcNWG4b+DGSqUWc9jwOly+FKXZ5gx7PEhUJ hRy4NA9vEHsPoaDv0bNqgYm8CFxPXLeE5VP0G5GPgDl84ZVveFvuN3ypqovmmYra MMJrfD2Ma1UlTMliA7IMQq7grE4eu0COSanj+HnQqweF63AlQl0TBaIpnAFeEg0W Ow4ZSUzlclPQJG0YJ0XLgZerdDizwbt5cr7Fowbro1Z4VcAUaZ/vZa5Ux3Cg2FwY QAz2Qq7cZgd3uksThQK9WngS9iH4Skgpa5jdQyK28VgouKjw4AqLpEpTw6ixQ1cb B0Cr1Wfa8c3px5wgS21eJZ0XZqMbu8tOagXPRQIXazAcHC9BJHdQFXvOyF6AmzCk 1g13R83Q9bmaqMgmmHUXeTqqgICgsSSoVY33K743t19O27a+ghbWxjP7KyKA4lET 2GleQ0gcPus5frGSUFIptnogHqiTw+LLMtqLw0L6TeoFeKJOFtj4+Tg6lbdwUPTZ /S9XM+7B1j7zwj6/mRgXNmmnICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9 Pj8= -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
OCTET_STRING {
SEQUENCE {
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}
}
}
¶
-----BEGIN PRIVATE KEY----- MFQCAQAwCwYJYIZIAWUDBAQDBEKAQAABAgMEBQYHCAkKCwwNDg8QERITFBUWFxgZ GhscHR4fICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9Pj8= -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
OCTET_STRING {
[0 PRIMITIVE] { `000102030405060708090a0b0c0d0e0f10111213141
5161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f30313233343
5363738393a3b3c3d3e3f` }
}
}
¶
-----BEGIN PRIVATE KEY----- MIIMeAIBADALBglghkgBZQMEBAMEggxkBIIMYPd7f2sVxz/izFRrZ/t3TKGbQs1G Pqn7uYTKR3p3tscQh8vwUavkc2qQcsbocMgxHFWWP1AKPHsbjypYVY9JxiUntsWU teess7z1lyc6V0NRfRUSCL1Kph51umewvVlKmUkZYnrAqATUieFxM2vDOfRmZwbl E0QSs2aCPVAxjIvyYasSCiigT+wBzBXytxkSzuVKqO7YVGlLa6iGtet2YebVaqwh PMHYFNWSs5VVT650R200NxFjEpv4ZFJyUGBswhpTdGsgmXB3u6FVczsopOf6B3Y5 lSR2PrSBzqoRNmw0dKBGhfQMPwiwQk9Av/lJoKyScEw7oMbrNvH1tiHYvytjJ761 fNP6y5QYb+P8mrChQ0uykdLJu3ByMFfiJUBZZW9WWRmjLPdFed6JaBzSxak1pStK qi0ky11cniBynsVJLsNpYe+4ooy8AKwwNSMpXz2ANqvBYDMHznDXhIo1ZXpWh91Y mSfqY3MWJquybsTkMbjrazsLweglc+5zsaAhGDGDUoEIri6srduVtGSguYRpwxnM J7+gG8MQVKaMBVArFmK4ef6YoXEcNCb2Q2ywIUzqN5rDp+X7YBhKN8HaHtphxsOc HdToR4RYEfKjWKQ3MVKFNtSjKRsEFYwsPcZBYkiCZ4vHgF9YqdlMcQRWeEaiBE5l rs4qIlNytgJHmaVHfWAjdQSqXArFe8cKNVjAjE3mh+8TArT8tVlEE9IsuVm8Mb5C NFBAPGvFfcQRs/76wQUqxLsWLERUWkyoCJJlf6E6CyxILO1inMSZnZacWT1KrfBz zD46RY54qKoDlAjmUr6TsgyLQuxbDlAjnaxyYFKFGm0VMS7DntIItyIJpXfGsncB EolXSdUmDn3URsCwEYwQAL5oAdJhH88AeSqcxPS0mSL5otS5yPpaXQ1gUGYxp+lx zuhAsI+mPBNynX6lqscDUqmEzbZpMxy6dY/ofsOTGz4xYfzHR6p0lCRon+rhS/fJ ov+6EwKyErgDctjpBJ22mjoSYdCihZqbTVeJngukFgehtnp8DhKSNon4xjlTd9lw x0kKQSlhGh0Fw7eBO+2UVCByP3+VJah3k/r7v8qYLma7gGgcgySKidoITBmIL0jz Hn/AkJOknp/QlpGwIe30Y6/FGbYoU4FhGDRhFfsLiCzGSC88XLzBwYlGl+EjlZiz Syqaes0VJE0GkMiBlAl6m+2lheh8Q3EkYkwhB2jmIV03ZIJlPriZR4d8EY03DGlq b/zBAYrkE6CKjQ/6qBmUXaehZ8IpkTKQytHICjaSWHYmEOolPmLcJCJqMMiSwSE2 wybxP0RGZkcSsLkLwGO0AoWTy94GzcIiieJAx+KWtZFywa7ajJngUS0aAWOpQuoz FI5pN8AmApQkuBuZax3yLqBiPsZca/CTUAzzvzU3Stw5IDXKfFg7mWhbylQaCAex Y6zQiIvgOF3qgg2kbk27RNLkYsc0uDpHP+0TZCcxWSV8wlmoxWdsHHbUHVa5kH7B w1mcnokHQDonpwXjYZsEsK0Ebo7IFpwXtGDUTAwMRGTQRMlGGGvHJZZQg6iSvMSV wFQDEf+bPlGSwwPYj4ukapAceC7wI4jxsq3atqU1D8NjlwDjFUM3M35KF401HNK1 buHwv+o0qs+jPS7HkeUHUtTQNMsclRVyyqpcTZCUe2sXWm3Txip3u496ya4kcZtT wrEgoodphuIXtyvXzuRKcmWxHO4asiYXYrMaNzg4aWnAgl+3lFLmUuEUL8c8nfb7 pBF5W0cXkispui1Tq+WowNzBYBsJbJbXk4/VpoqHl8e5R3qGpHLrXaJQyy/sMY2D yPQ7vo4Rw143fTSTZshcQ4JZf2/CegBRwPsAsCwByiD5pCfxclmUd8ppDMEyfg8C X4DsM4qAoVnjCMEqJ9safhuWCpnTffwihy5Rkw8oxlGrIh9Tq67iC62aPqvLq5Ey Ub8TW+spYXtXVDM8TarbIjg0HCrZN4GGKA9kSUQLeEunj12sRNj2Wzt0IZUDl8OR Oi3SPsbRy3F7NqX8la8ZHieClpSMElTqhrTsAEuUwpRQERGRgjs1FMmsHqPZglzL hjk6LfsEZU+iGS03v60cSXxlAu7lyoCnO/zguvWlSohYWkATl6PSMvQmp6+wgrwh pEMXCQ6qx1ksLqiKZTxEkeoZOTEzX1LpiaPEzFbZxVNzLVfEcPtBq3WbZdLQREU4 L82cTjRKESj6nhHgQ1jhku0BSyMjKn7isi4jcX9EER7jNXU5nDdkbamBPsmyEq/p Tl3FwjMKcpTMH0I0ptP7tPFoWriJLASssXzRwXDXsGEbanF2x5TMjGf1X8kjwq0g MQDzZZkYgsMCQ9d4E4Q7XsfJZAMiY3BgkuzwDHUWvmTkWYykImwGm7XmfkF1zyKG yN1cSIpsWGHzG6oL0CaUcOi1Ud07zTjIbBL5zbF2x33ItsAqcB9HiQLIVT9pTA2C cntMSlwsEEEhKqEnSAi4IRGzd+x1IU6bGXj3YATUE52YYT9LjpjSCve1NAc6UJqV m3p1ZPm0DKIYv2GCkyCoUCAXlU0yjXrGx2nsKXAHVuewaFs0DV4RgFlQSkmppQoQ GY6xCleEZ460J9e0uruVUpM7BiiXlz4TGOrwoOrDdYSmVAGxcD4EKszYN1MUg/JB ytzRwdN4EZ5pRCnbGZrIkeTFNDdXCFuzrng2ZzUMRFjZdnLoYegLHSZ5UQ6jpvI2 DHekaULHoGpVTSKAgMhLR67xTbF2IMsWwGqzChvkzacIK+n4fpwhHEaRY0mluo6q UgHHKUo8CIW1O2V0UhCIJexkbJCgRhIyTufQMa/lNDEyy+9ntu+xpewoCbdzU4zn ez2LBOsLPCJWAR5McWwZqLoHUr9xSSEXZJ8GFcMpD8KaRv3kvVLbkobWAziCRCWc FaesK2QKYMwDN2pYQaP7ikc1aPqbGiZyFfNMAWl7Dw5icXXXIQW3cHwpueYUvcM6 b2yBipU3C0J4gte0dnlqnsbrmTJ0zZsjkagrpF4zk9Lprpchyp1sG5iLWCdxP5Cm WF3pQzUowCsDzhC7X3IBOND7tMMMEma5GOUpJd/hezf5XSK8pU9HWRmshZCYwPDQ isWHXvKbVv0UHm7xX3AKC2bzlZXFiBdzc8RmmyG8Bx5MOqXwtKMbYljzXaJKw80p x/IJJBDFB4NVsTj7U6a5rm4LnAgkPnuqRcRzduuMfxPUz1Gqc2+jFUDJJB83DaVE v5+cKNmlfi8qfKlaTktGbmQas7zHat8ROdVnpvErUvOmXn7AquJryqjFWDOwTlmZ jryaGTD7ttIjPFPSwfi5UY48Lec6Gd7ms4Clsylxz2ThKf1sH6bnXUojRQHpZt06 VAr1yPTzSmtKJT7ihJJWbV5nxvVYVfywUG+wbBVnRNmgOjGib6lMrRTxV7fzA9B6 acdzdo/LTQecCQWXA6DDqU3kuZ6jovFlg9D5Fwo5UNsHtPC8MIApJ/n3lhtiWYkm NqlQKicFMDY3eZ3TRNpFHBz3v2eEDOsweauMa4wZJ/ZAU8YSRQxFyeYDvBZmbllr NHHhA7bxVEdCTRcCIEgRH/vTfhxnD2TxS4p7MrlMGkm0XdL8OM1SidkQrWNgLPXh MELGSsZ5e4n7VRrQjgWpLSAMzLfnEu8jyTEss1DwKatTfihzR/0wdawQkGp4Pxxs B8y4j0EijEvhxkD3kLXDpdXTynkklddLxGFWJljAesYAJ2uSSrW8m+HwSUy3b4L0 YKdICXJmM4HhaZlgYdeZhZ7FTU9cpcQRwB2xWXsWWXdmneE6koo0r7rCWP6oxHZC OclCHcMRm/W0dpkgaXgyexxTRe90anmDhB8FbiU0EAqyTU6au9CxfGqVvUw8DkD2 nhYSrO6yi5kIbJURbnIEJziTOQv0a4mbNihrDr8ZR7uYhPcyyifagrGbXcDMf4iF cUkQiIsjEMT5MZ1BCzTmQzuQA+IXa7mVJXRWEG6JUhY7i6WSUwzFqgrrQ605j+np e6pSPXpEMWd8PTrwcZ5HXbhcqVr1CJvqvrBbL6q0iWumD4HIhHKle0aoKIJqDN+0 RvgYkYLSv16sTsHMXer1mcihPkgjVAbRf/3cg0S2xmmEqGiqkvoCInoIaVDrDIcB 7VjcYod2uYOILhF1YTSeXBMafhFqBGOGHX0YZjxWJ8OMcUfdqt/Uis16RTUgISIj JCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+Pw== -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
OCTET_STRING {
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}
}
¶
-----BEGIN PRIVATE KEY----- MIIMvgIBADALBglghkgBZQMEBAMEggyqMIIMpgRAAAECAwQFBgcICQoLDA0ODxAR EhMUFRYXGBkaGxwdHh8gISIjJCUmJygpKissLS4vMDEyMzQ1Njc4OTo7PD0+PwSC DGD3e39rFcc/4sxUa2f7d0yhm0LNRj6p+7mEykd6d7bHEIfL8FGr5HNqkHLG6HDI MRxVlj9QCjx7G48qWFWPScYlJ7bFlLXnrLO89ZcnOldDUX0VEgi9SqYedbpnsL1Z SplJGWJ6wKgE1InhcTNrwzn0ZmcG5RNEErNmgj1QMYyL8mGrEgoooE/sAcwV8rcZ Es7lSqju2FRpS2uohrXrdmHm1WqsITzB2BTVkrOVVU+udEdtNDcRYxKb+GRSclBg bMIaU3RrIJlwd7uhVXM7KKTn+gd2OZUkdj60gc6qETZsNHSgRoX0DD8IsEJPQL/5 SaCsknBMO6DG6zbx9bYh2L8rYye+tXzT+suUGG/j/JqwoUNLspHSybtwcjBX4iVA WWVvVlkZoyz3RXneiWgc0sWpNaUrSqotJMtdXJ4gcp7FSS7DaWHvuKKMvACsMDUj KV89gDarwWAzB85w14SKNWV6VofdWJkn6mNzFiarsm7E5DG462s7C8HoJXPuc7Gg IRgxg1KBCK4urK3blbRkoLmEacMZzCe/oBvDEFSmjAVQKxZiuHn+mKFxHDQm9kNs sCFM6jeaw6fl+2AYSjfB2h7aYcbDnB3U6EeEWBHyo1ikNzFShTbUoykbBBWMLD3G QWJIgmeLx4BfWKnZTHEEVnhGogROZa7OKiJTcrYCR5mlR31gI3UEqlwKxXvHCjVY wIxN5ofvEwK0/LVZRBPSLLlZvDG+QjRQQDxrxX3EEbP++sEFKsS7FixEVFpMqAiS ZX+hOgssSCztYpzEmZ2WnFk9Sq3wc8w+OkWOeKiqA5QI5lK+k7IMi0LsWw5QI52s cmBShRptFTEuw57SCLciCaV3xrJ3ARKJV0nVJg591EbAsBGMEAC+aAHSYR/PAHkq nMT0tJki+aLUucj6Wl0NYFBmMafpcc7oQLCPpjwTcp1+parHA1KphM22aTMcunWP 6H7Dkxs+MWH8x0eqdJQkaJ/q4Uv3yaL/uhMCshK4A3LY6QSdtpo6EmHQooWam01X iZ4LpBYHobZ6fA4SkjaJ+MY5U3fZcMdJCkEpYRodBcO3gTvtlFQgcj9/lSWod5P6 +7/KmC5mu4BoHIMkionaCEwZiC9I8x5/wJCTpJ6f0JaRsCHt9GOvxRm2KFOBYRg0 YRX7C4gsxkgvPFy8wcGJRpfhI5WYs0sqmnrNFSRNBpDIgZQJepvtpYXofENxJGJM IQdo5iFdN2SCZT64mUeHfBGNNwxpam/8wQGK5BOgio0P+qgZlF2noWfCKZEykMrR yAo2klh2JhDqJT5i3CQiajDIksEhNsMm8T9ERmZHErC5C8BjtAKFk8veBs3CIoni QMfilrWRcsGu2oyZ4FEtGgFjqULqMxSOaTfAJgKUJLgbmWsd8i6gYj7GXGvwk1AM 8781N0rcOSA1ynxYO5loW8pUGggHsWOs0IiL4Dhd6oINpG5Nu0TS5GLHNLg6Rz/t E2QnMVklfMJZqMVnbBx21B1WuZB+wcNZnJ6JB0A6J6cF42GbBLCtBG6OyBacF7Rg 1EwMDERk0ETJRhhrxyWWUIOokrzElcBUAxH/mz5RksMD2I+LpGqQHHgu8COI8bKt 2ralNQ/DY5cA4xVDNzN+SheNNRzStW7h8L/qNKrPoz0ux5HlB1LU0DTLHJUVcsqq XE2QlHtrF1pt08Yqd7uPesmuJHGbU8KxIKKHaYbiF7cr187kSnJlsRzuGrImF2Kz Gjc4OGlpwIJft5RS5lLhFC/HPJ32+6QReVtHF5IrKbotU6vlqMDcwWAbCWyW15OP 1aaKh5fHuUd6hqRy612iUMsv7DGNg8j0O76OEcNeN300k2bIXEOCWX9vwnoAUcD7 ALAsAcog+aQn8XJZlHfKaQzBMn4PAl+A7DOKgKFZ4wjBKifbGn4blgqZ0338Iocu UZMPKMZRqyIfU6uu4gutmj6ry6uRMlG/E1vrKWF7V1QzPE2q2yI4NBwq2TeBhigP ZElEC3hLp49drETY9ls7dCGVA5fDkTot0j7G0ctxezal/JWvGR4ngpaUjBJU6oa0 7ABLlMKUUBERkYI7NRTJrB6j2YJcy4Y5Oi37BGVPohktN7+tHEl8ZQLu5cqApzv8 4Lr1pUqIWFpAE5ej0jL0JqevsIK8IaRDFwkOqsdZLC6oimU8RJHqGTkxM19S6Ymj xMxW2cVTcy1XxHD7Qat1m2XS0ERFOC/NnE40ShEo+p4R4ENY4ZLtAUsjIyp+4rIu I3F/RBEe4zV1OZw3ZG2pgT7JshKv6U5dxcIzCnKUzB9CNKbT+7TxaFq4iSwErLF8 0cFw17BhG2pxdseUzIxn9V/JI8KtIDEA82WZGILDAkPXeBOEO17HyWQDImNwYJLs 8Ax1Fr5k5FmMpCJsBpu15n5Bdc8ihsjdXEiKbFhh8xuqC9AmlHDotVHdO804yGwS +c2xdsd9yLbAKnAfR4kCyFU/aUwNgnJ7TEpcLBBBISqhJ0gIuCERs3fsdSFOmxl4 92AE1BOdmGE/S46Y0gr3tTQHOlCalZt6dWT5tAyiGL9hgpMgqFAgF5VNMo16xsdp 7ClwB1bnsGhbNA1eEYBZUEpJqaUKEBmOsQpXhGeOtCfXtLq7lVKTOwYol5c+Exjq 8KDqw3WEplQBsXA+BCrM2DdTFIPyQcrc0cHTeBGeaUQp2xmayJHkxTQ3Vwhbs654 Nmc1DERY2XZy6GHoCx0meVEOo6byNgx3pGlCx6BqVU0igIDIS0eu8U2xdiDLFsBq swob5M2nCCvp+H6cIRxGkWNJpbqOqlIBxylKPAiFtTtldFIQiCXsZGyQoEYSMk7n 0DGv5TQxMsvvZ7bvsaXsKAm3c1OM53s9iwTrCzwiVgEeTHFsGai6B1K/cUkhF2Sf BhXDKQ/Cmkb95L1S25KG1gM4gkQlnBWnrCtkCmDMAzdqWEGj+4pHNWj6mxomchXz TAFpew8OYnF11yEFt3B8KbnmFL3DOm9sgYqVNwtCeILXtHZ5ap7G65kydM2bI5Go K6ReM5PS6a6XIcqdbBuYi1gncT+Qplhd6UM1KMArA84Qu19yATjQ+7TDDBJmuRjl KSXf4Xs3+V0ivKVPR1kZrIWQmMDw0IrFh17ym1b9FB5u8V9wCgtm85WVxYgXc3PE ZpshvAceTDql8LSjG2JY812iSsPNKcfyCSQQxQeDVbE4+1Omua5uC5wIJD57qkXE c3brjH8T1M9RqnNvoxVAySQfNw2lRL+fnCjZpX4vKnypWk5LRm5kGrO8x2rfETnV Z6bxK1Lzpl5+wKria8qoxVgzsE5ZmY68mhkw+7bSIzxT0sH4uVGOPC3nOhne5rOA pbMpcc9k4Sn9bB+m511KI0UB6WbdOlQK9cj080prSiU+4oSSVm1eZ8b1WFX8sFBv sGwVZ0TZoDoxom+pTK0U8Ve38wPQemnHc3aPy00HnAkFlwOgw6lN5Lmeo6LxZYPQ +RcKOVDbB7TwvDCAKSf595YbYlmJJjapUConBTA2N3md00TaRRwc979nhAzrMHmr jGuMGSf2QFPGEkUMRcnmA7wWZm5ZazRx4QO28VRHQk0XAiBIER/7034cZw9k8UuK ezK5TBpJtF3S/DjNUonZEK1jYCz14TBCxkrGeXuJ+1Ua0I4FqS0gDMy35xLvI8kx LLNQ8CmrU34oc0f9MHWsEJBqeD8cbAfMuI9BIoxL4cZA95C1w6XV08p5JJXXS8Rh ViZYwHrGACdrkkq1vJvh8ElMt2+C9GCnSAlyZjOB4WmZYGHXmYWexU1PXKXEEcAd sVl7Fll3Zp3hOpKKNK+6wlj+qMR2QjnJQh3DEZv1tHaZIGl4MnscU0XvdGp5g4Qf BW4lNBAKsk1OmrvQsXxqlb1MPA5A9p4WEqzusouZCGyVEW5yBCc4kzkL9GuJmzYo aw6/GUe7mIT3Mson2oKxm13AzH+IhXFJEIiLIxDE+TGdQQs05kM7kAPiF2u5lSV0 VhBuiVIWO4ulklMMxaoK60OtOY/p6XuqUj16RDFnfD068HGeR124XKla9Qib6r6w Wy+qtIlrpg+ByIRypXtGqCiCagzftEb4GJGC0r9erE7BzF3q9ZnIoT5II1QG0X/9 3INEtsZphKhoqpL6AiJ6CGlQ6wyHAe1Y3GKHdrmDiC4RdWE0nlwTGn4RagRjhh19 GGY8VifDjHFH3arf1IrNekU1ICEiIyQlJicoKSorLC0uLzAxMjM0NTY3ODk6Ozw9 Pj8= -----END PRIVATE KEY-----¶
SEQUENCE {
INTEGER { 0 }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
OCTET_STRING {
SEQUENCE {
OCTET_STRING { `000102030405060708090a0b0c0d0e0f1011121314
15161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f3031323334
35363738393a3b3c3d3e3f` }
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}
}
}
¶
The following is the ML-KEM-512 public key corresponding to the private key in the previous section.¶
-----BEGIN PUBLIC KEY----- MIIDMjALBglghkgBZQMEBAEDggMhADmVgV5ZfRBDVc8pqlMzyTJRhp1bzb5IcST2 Ari2pmwWxHYWSK12XPXYAGtRXpBafwrAdrDGLvoygVPnylcBaZ8TBfHmvG+QsOSb aTUSts6ZKouAFt38GmYsfj+WGcvYad13GvMIlszVkYrGy3dGbF53mZbWf/mqvJdQ Pyx7fi0ADYZFD7GAfKTKvaRlgloxx4mht6SRqzhydl0yDQtxkg+iE8lAk0Frg7gS Tmn2XmLLUADcw3qpoP/3OXDEdy81fSQYnKb1MFVowOI3ajdipoxgXlY8XSCVcuD8 dTLKKUcpU1VntfxBPF6HktJGRTbMgI+YrddGZPFBVm+QFqkKVBgpqYoEZM5BqLtE wtT6PCwglGByjvFKGnxMm5jRIgO0zDUpFgqasteDj3/2tTrgWqMafWRrevpsRZMl JqPDdVYZvplMIRwqMcBbNEeDbLIVC+GCna5rBMVTXP9Ubjkrp5dBFyD5JPSQpaxU lfITVtVQt4KmTBaItrZVvMeEIZekNML2Vjtbfwmni8xIgjJ4NWHRb0y6tnVUAAUH gVcMZmBLgXrRJSKUc26LAYYaS1p0UZuLb+UUiaUHI5Llh2JscTd2V10zgGocjicy r5fCaA9RZmMxxOuLvAQxxPloMtrxs8RVKPuhU/bHixwZhwKUfM0zdyekb7U7oR3l y0GRNGhZUWy2rXJADzzyCbI2rvNaWArIfrPjD6/WaXPKin3SZ1r0H3oXthQzzRr4 D3cIhp9mVIhJeYCxrBCgzctjagDthoGzXkKRJMqANQcluF+DperDpKPMFgCQPmUp NWC5szblrw1SnawaBIEZMCy3qbzBELlIUb8CEX8ZncSFqFK3Rz8JuDGmgx1bVMC3 kNIlz2u5LZRiomzbM92lEjx6rw4moLg2Ve6ii/OoB0clAY/WuuS2Ac9huqtxp6PT UZejQ+dLSicsEl1UCJZCbYW3lY07OKa6mH7DciXHtEzbEt3kU5tKsII2NoPwS/eg nMXEHf6DChsWLgsyQzQ2LwhKFEZ3IzRLrdAA+NjFN8SPmY8FMHzr0e3guBw7xZoG WhttY7Js -----END PUBLIC KEY-----¶
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
BIT_STRING { `00` `3995815e597d104355cf29aa5333c93251869d5bcdb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` }
}
¶
The following is the ML-KEM-768 public key corresponding to the private key in the previous section.¶
-----BEGIN PUBLIC KEY----- MIIEsjALBglghkgBZQMEBAIDggShACmKoQ1CPI3aBp0CvFnmzfA6CWuLPaTKubgM pKFJB2cszvHsT68jSgvFt+nUc/KzEzs7JqHRdctnp4BZGWmcAvdlMbmcX4kYBwS7 TKRTXFuJcmecZgoHxeUUuHAJyGLrj1FXaV77P8QKne9rgcHMAqJJrk8JStDZvTSF wcHGgIBSCnyMYyAyzuc4FU5cUXbAfaVgJHdqQw/nbqz2ZaP3uDIQIhW8gvEJOcg1 VwQzao+sHYHkuwSFql18dNa1m75cXpcqDYusQRtVtdVVfNaAoaj3G064a8SMmgUJ cxpUvZ1ykLJ5Y+Q3Lcmxmc/crAsBrNKKYjlREuTENkjWIsSMgjTQFEDozDdskn8j pa/JrAR0xmInTkJFJchVLs47P+JlFt6QG8fVFb3olVjmJslcgLkzQvgBAATznmxs lIccXjRMqzlmyDX5qWpZr9McQChrOLHBp4RwurlHUYk0RTzoZzapGfH1ptUQqG9U VPw5gMtcdlvSvV97NrFBDWY1yM60fE3aDXaijqyTnHHDAkgEhmxxYmZYRCFjwsIh F+UKzvzmN4qYVlIwKk7wws4Mxxa3eW4ray43d9+hrD2iWaMbWptTD4y2OKgaYqww GEmrr5WnMBvaMAaJCb/bfmfbzLs4pVUaJbGjoPaFdIrVdT2IgPABbGJ0hhZjhMVX H+I2WQA2TQODEeLYdds2ZoaTK17GAkMKNp6Hpu9cM4eGZXglvUwFes65I+sJNeaQ XmO0ztf4CFenc91ksVDSZhLqmsEgUtsgF78YQ8y0sygbaQ3HKK36hcACgbjjwJKH M1+Fa0/CiS9povV5Ia2gGRTECYhmLVd2lmKnhjUbm2ZJPat5WU2YbeIQDWW6D/Tq WLgVONJKRDWiWPrCVASqf0H2WLE4UGXhWNy2ARVzJyD0BFmqrBXkBpU6kKxSmX0c zQcAYO/GXbnmUzVEZ/rVbscTyG51QMQjrPJmn1L6b0rGiI2HHvPoR8ApqKr7uS4X skqgebH0GbphdbRCr7EZCdSla3CgM1soc5IYqnyTSOLDwvPrPRWkHmQXwN2Uv+sh QZsxGnuxOhgLvoMyGKmmsXRHzIXyJYWVh6cwdwSay8/UTQ8CVDjhXRU4Jw1Ybhv4 MZKpRZz2PA6XL4UpdnmDHs8SFQmFHLg0D28Qew+hoO/Rs2qBibwIXE9ct4TlU/Qb kY+AOXzhlW94W+43fKmqi+aZitowwmt8PYxrVSVMyWIDsgxCruCsTh67QI5JqeP4 edCrB4XrcCVCXRMFoimcAV4SDRY7DhlJTOVyU9AkbRgnRcuBl6t0OLPBu3lyvsWj BuujVnhVwBRpn+9lrlTHcKDYXBhADPZCrtxmB3e6SxOFAr1aeBL2IfhKSClrmN1D IrbxWCi4qPDgCoukSlPDqLFDVxsHQKvVZ9rxzenHnCBLbV4lnRdmoxu7y05qBc9F AhdrMBwcL0Ekd1AVe87IXoCbMKTWDXdHzdD1uZqoyCaYdRd5OqqAgKCxJKhVjfcr vje3X07btr6CFtbGM/srIoDiURPYaV5DSBw+6zl+sZJQUim2eiAeqJPD4ssy2ovD QvpN6gV4 -----END PUBLIC KEY-----¶
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
BIT_STRING { `00` `298aa10d423c8dda069d02bc59e6cdf03a096b8b3da
4cab9b80ca4a14907672ccef1ec4faf234a0bc5b7e9d473f2b3133b3b26a1d17
5cb67a7805919699c02f76531b99c5f89180704bb4ca4535c5b8972679c660a0
7c5e514b87009c862eb8f5157695efb3fc40a9def6b81c1cc02a249ae4f094ad
0d9bd3485c1c1c68080520a7c8c632032cee738154e5c5176c07da56024776a4
30fe76eacf665a3f7b832102215bc82f10939c8355704336a8fac1d81e4bb048
5aa5d7c74d6b59bbe5c5e972a0d8bac411b55b5d5557cd680a1a8f71b4eb86bc
48c9a0509731a54bd9d7290b27963e4372dc9b199cfdcac0b01acd28a6239511
2e4c43648d622c48c8234d01440e8cc376c927f23a5afc9ac0474c662274e424
525c8552ece3b3fe26516de901bc7d515bde89558e626c95c80b93342f801000
4f39e6c6c94871c5e344cab3966c835f9a96a59afd31c40286b38b1c1a78470b
ab947518934453ce86736a919f1f5a6d510a86f5454fc3980cb5c765bd2bd5f7
b36b1410d6635c8ceb47c4dda0d76a28eac939c71c3024804866c71626658442
163c2c22117e50acefce6378a985652302a4ef0c2ce0cc716b7796e2b6b2e377
7dfa1ac3da259a31b5a9b530f8cb638a81a62ac301849abaf95a7301bda30068
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6ef5c338786657825bd4c057aceb923eb0935e6905e63b4ced7f80857a773dd6
4b150d26612ea9ac12052db2017bf1843ccb4b3281b690dc728adfa85c00281b
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2afb11909d4a56b70a0335b28739218aa7c9348e2c3c2f3eb3d15a41e6417c0d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` }
}
¶
The following is the ML-KEM-1024 public key corresponding to the private key in the previous section.¶
-----BEGIN PUBLIC KEY----- MIIGMjALBglghkgBZQMEBAMDggYhAEuUwpRQERGRgjs1FMmsHqPZglzLhjk6LfsE ZU+iGS03v60cSXxlAu7lyoCnO/zguvWlSohYWkATl6PSMvQmp6+wgrwhpEMXCQ6q x1ksLqiKZTxEkeoZOTEzX1LpiaPEzFbZxVNzLVfEcPtBq3WbZdLQREU4L82cTjRK ESj6nhHgQ1jhku0BSyMjKn7isi4jcX9EER7jNXU5nDdkbamBPsmyEq/pTl3FwjMK cpTMH0I0ptP7tPFoWriJLASssXzRwXDXsGEbanF2x5TMjGf1X8kjwq0gMQDzZZkY gsMCQ9d4E4Q7XsfJZAMiY3BgkuzwDHUWvmTkWYykImwGm7XmfkF1zyKGyN1cSIps WGHzG6oL0CaUcOi1Ud07zTjIbBL5zbF2x33ItsAqcB9HiQLIVT9pTA2CcntMSlws EEEhKqEnSAi4IRGzd+x1IU6bGXj3YATUE52YYT9LjpjSCve1NAc6UJqVm3p1ZPm0 DKIYv2GCkyCoUCAXlU0yjXrGx2nsKXAHVuewaFs0DV4RgFlQSkmppQoQGY6xCleE Z460J9e0uruVUpM7BiiXlz4TGOrwoOrDdYSmVAGxcD4EKszYN1MUg/JBytzRwdN4 EZ5pRCnbGZrIkeTFNDdXCFuzrng2ZzUMRFjZdnLoYegLHSZ5UQ6jpvI2DHekaULH oGpVTSKAgMhLR67xTbF2IMsWwGqzChvkzacIK+n4fpwhHEaRY0mluo6qUgHHKUo8 CIW1O2V0UhCIJexkbJCgRhIyTufQMa/lNDEyy+9ntu+xpewoCbdzU4znez2LBOsL PCJWAR5McWwZqLoHUr9xSSEXZJ8GFcMpD8KaRv3kvVLbkobWAziCRCWcFaesK2QK YMwDN2pYQaP7ikc1aPqbGiZyFfNMAWl7Dw5icXXXIQW3cHwpueYUvcM6b2yBipU3 C0J4gte0dnlqnsbrmTJ0zZsjkagrpF4zk9Lprpchyp1sG5iLWCdxP5CmWF3pQzUo wCsDzhC7X3IBOND7tMMMEma5GOUpJd/hezf5XSK8pU9HWRmshZCYwPDQisWHXvKb Vv0UHm7xX3AKC2bzlZXFiBdzc8RmmyG8Bx5MOqXwtKMbYljzXaJKw80px/IJJBDF B4NVsTj7U6a5rm4LnAgkPnuqRcRzduuMfxPUz1Gqc2+jFUDJJB83DaVEv5+cKNml fi8qfKlaTktGbmQas7zHat8ROdVnpvErUvOmXn7AquJryqjFWDOwTlmZjryaGTD7 ttIjPFPSwfi5UY48Lec6Gd7ms4Clsylxz2ThKf1sH6bnXUojRQHpZt06VAr1yPTz SmtKJT7ihJJWbV5nxvVYVfywUG+wbBVnRNmgOjGib6lMrRTxV7fzA9B6acdzdo/L TQecCQWXA6DDqU3kuZ6jovFlg9D5Fwo5UNsHtPC8MIApJ/n3lhtiWYkmNqlQKicF MDY3eZ3TRNpFHBz3v2eEDOsweauMa4wZJ/ZAU8YSRQxFyeYDvBZmbllrNHHhA7bx VEdCTRcCIEgRH/vTfhxnD2TxS4p7MrlMGkm0XdL8OM1SidkQrWNgLPXhMELGSsZ5 e4n7VRrQjgWpLSAMzLfnEu8jyTEss1DwKatTfihzR/0wdawQkGp4PxxsB8y4j0Ei jEvhxkD3kLXDpdXTynkklddLxGFWJljAesYAJ2uSSrW8m+HwSUy3b4L0YKdICXJm M4HhaZlgYdeZhZ7FTU9cpcQRwB2xWXsWWXdmneE6koo0r7rCWP6oxHZCOclCHcMR m/W0dpkgaXgyexxTRe90anmDhB8FbiU0EAqyTU6au9CxfGqVvUw8DkD2nhYSrO6y i5kIbJURbnIEJziTOQv0a4mbNihrDr8ZR7uYhPcyyifagrGbXcDMf4iFcUkQiIsj EMT5MZ1BCzTmQzuQA+IXa7mVJXRWEG6JUhY7i6WSUwzFqgrrQ605j+npe6pSPXpE MWd8PTrwcZ5HXbhcqVr1CJvqvrBbL6q0iWumD4HIhHKle0aoKIJqDN+0RvgYkYLS v16sTsHMXer1mcihPkgjVAbRf/3cg0S2xmmEqGiqkvoCInoIaVDrDIcB7VjcYod2 uYOILhF1 -----END PUBLIC KEY-----¶
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
BIT_STRING { `00` `4b94c29450111191823b3514c9ac1ea3d9825ccb863
93a2dfb04654fa2192d37bfad1c497c6502eee5ca80a73bfce0baf5a54a88585
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003e2176bb995257456106e8952163b8ba592530cc5aa0aeb43ad398fe9e97ba
a523d7a4431677c3d3af0719e475db85ca95af5089beabeb05b2faab4896ba60
f81c88472a57b46a828826a0cdfb446f8189182d2bf5eac4ec1cc5deaf599c8a
13e48235406d17ffddc8344b6c66984a868aa92fa02227a086950eb0c8701ed5
8dc628776b983882e1175` }
}
¶
The following is the ML-KEM-512 certificate that corresponding to the public key in the previous section signed with the ML-DSA-44 private key from [I-D.ietf-lamps-dilithium-certificates].¶
-----BEGIN CERTIFICATE----- MIINpDCCBBqgAwIBAgIUFZ/+byL9XMQsUk32/V4o0N44808wCwYJYIZIAWUDBAMR MCIxDTALBgNVBAoTBElFVEYxETAPBgNVBAMTCExBTVBTIFdHMB4XDTIwMDIwMzA0 MzIxMFoXDTQwMDEyOTA0MzIxMFowIjENMAsGA1UEChMESUVURjERMA8GA1UEAxMI TEFNUFMgV0cwggMyMAsGCWCGSAFlAwQEAQOCAyEAOZWBXll9EENVzymqUzPJMlGG nVvNvkhxJPYCuLambBbEdhZIrXZc9dgAa1FekFp/CsB2sMYu+jKBU+fKVwFpnxMF 8ea8b5Cw5JtpNRK2zpkqi4AW3fwaZix+P5YZy9hp3Xca8wiWzNWRisbLd0ZsXneZ ltZ/+aq8l1A/LHt+LQANhkUPsYB8pMq9pGWCWjHHiaG3pJGrOHJ2XTINC3GSD6IT yUCTQWuDuBJOafZeYstQANzDeqmg//c5cMR3LzV9JBicpvUwVWjA4jdqN2KmjGBe VjxdIJVy4Px1MsopRylTVWe1/EE8XoeS0kZFNsyAj5it10Zk8UFWb5AWqQpUGCmp igRkzkGou0TC1Po8LCCUYHKO8UoafEybmNEiA7TMNSkWCpqy14OPf/a1OuBaoxp9 ZGt6+mxFkyUmo8N1Vhm+mUwhHCoxwFs0R4NsshUL4YKdrmsExVNc/1RuOSunl0EX IPkk9JClrFSV8hNW1VC3gqZMFoi2tlW8x4Qhl6Q0wvZWO1t/CaeLzEiCMng1YdFv TLq2dVQABQeBVwxmYEuBetElIpRzbosBhhpLWnRRm4tv5RSJpQcjkuWHYmxxN3ZX XTOAahyOJzKvl8JoD1FmYzHE64u8BDHE+Wgy2vGzxFUo+6FT9seLHBmHApR8zTN3 J6RvtTuhHeXLQZE0aFlRbLatckAPPPIJsjau81pYCsh+s+MPr9Zpc8qKfdJnWvQf ehe2FDPNGvgPdwiGn2ZUiEl5gLGsEKDNy2NqAO2GgbNeQpEkyoA1ByW4X4Ol6sOk o8wWAJA+ZSk1YLmzNuWvDVKdrBoEgRkwLLepvMEQuUhRvwIRfxmdxIWoUrdHPwm4 MaaDHVtUwLeQ0iXPa7ktlGKibNsz3aUSPHqvDiaguDZV7qKL86gHRyUBj9a65LYB z2G6q3Gno9NRl6ND50tKJywSXVQIlkJthbeVjTs4prqYfsNyJce0TNsS3eRTm0qw gjY2g/BL96CcxcQd/oMKGxYuCzJDNDYvCEoURncjNEut0AD42MU3xI+ZjwUwfOvR 7eC4HDvFmgZaG21jsmyjUjBQMA4GA1UdDwEB/wQEAwIFIDAdBgNVHQ4EFgQUDsWS pZcefo2geKhuRnTy+xH26NcwHwYDVR0jBBgwFoAUMpoHsfq7SPUqMJ8RoYmPhI4j Iv8wCwYJYIZIAWUDBAMRA4IJdQDcV8LA/De8Ss6UL3tMcHXKc0iTXaBPPLyoCimW KG/BhZ299qdyg6Qv/hWMxXfuQLvBIJUiE9boIUvDJH1Bv5q+wBXDM4Pcb585a972 fB7Lj7rTYwGezp4QRGsn4bMOUHtOS/9MaD9LAw8XlEDSl69KgN+jN+Cak+PS1Q3O u+TpeM2fo304+3vTfHlNiePSNOqkd1pzs2nwVIbQGIWctpF1rIHC7NJ/XOO3ZsN3 Cr758OLyAotCdGCRnj16Fhxh1rJ976b6y+Yo96CDMgl22lYPJoihlBekuKc4ugkE g4vJEwAtPlMoaogn7XJcWkKIhGKp1M7nG9KvgQxCRvIfRURuDyHaiOAkOayK+Hp6 4AV02pbYX/w1X9bW1KOeId42EUQpF2iFu3ilOJi1JmMFyMP8lZZYq/8fPv3KGZPF YJpd6yaA7ReIQaNiFgCMqx7nw/Zti7sa2a5dor3YqYRjZ8UlJUuYUKxNDde/u46W mIEGSYcynpOiEYbyeWmXW4ye7qhT1Q7bmFPV8Mjzn3rXytzUzUZfrK8j9cHxAozY sF7RDuBmauliYfV1jaroCcHrohVTnSSiSMQKV4q6HjKPIpf4qENs4SVh9xkWXdbB OaiGgFhsI+sxlDGPRwbKrj6gVcbyFuJIPRL1LylJ2qFXzpzHyfAS3fHFvgv+S0AJ DnfNk3OcT7G9jQhESQOkTXA4LqxPI+0c6asvauXlICnN8RdOjraY4+DQL8cYidEi SAnXsOKNSzj+b225zdPvfBB/4eJTtV7VdnQOhETJErofxEWbpA8zobl/+bu2smdY Pg1a83hwVo+HxfkSz1iHW9WT9+iwhnm28RqzLdmmzZGJSfgEFkADriwXUEr+LIkX 0xeMGvyXxdxv9S6Y6y+n0Al0ql0tzGviVoDqA0xNLU+Mupou5ftDTJj7U1oxIUHj HlFeE06+JRoTPbDcl+cBil31SlxuZ1u7cOE33nbPOw0jWDXeA8M5uE3aMQah5VRf tZXmdijH4zEN1/++Q5oJAF1SCTsnTkZ0lk3ZlIfpO0H1sJpINzLlBO04dLlQx2Nc NFIExuPsVO7kW1rDLqkh8srBKrdUa/8ngD3kppXW7iaBhSnUE0N6lrwi5g/fJbNU H0W7r0b31u0KDQ8cNKlK8PZL5pu/ulJTGZ5Dz4HORwVt2aXQojZfGQ0rashKxes8 F+Ewgse7NUAt3HqX94+0SWpfpNCVlZknK5XfhZJV08XVZ2TkTDoJ6aBLqua/a5Xg jWTwroAJuB84jx2B1eCeYxjt+3cEaB274XU++H6m5kP/1QtJ3L1r545NaRQAylZF MwCtCTVyAavhrTcrQwhl8rVGAKOlXaCfHSln8y9u26qMHeL9BIP7JeMeZxCYQQ5b QxN0WvGmK11W6XG2CTc0qQ0RdUOvfrXTfl5A+I6DS4T2Z26APgkoq2JSQihO3JEg S7zknl2NoAummhweGU/qSPzX+4/KlxwcCCs8mD8ZkkwhdB5poU4uTES/eCO+rrm3 wxLmiIcv2RwNdN8bRkxm35SQCCfc6riit4AxkaRKz5b27FWedfkH9bOgQaQGxm/v 5IwGHsFGeQFJyV1pNvo0aB9vvMTL3VZOsoXooxrdlc0kv7jJ9Q6eF8ZAFYXvxnaS D+/OsH1b1+6WCVZIDRzRsMauvaifYUZNMQQ/CKSkDkFPjBDY5Xca9yZkGl+S+Pzz 7ODu6y3lvvUk+V6sPKEAS4ejZOocriV75SPfz0WlRZoljJXOm3tKCo6L2e56ntVs hRiIBaLG5stQf2EihTSZUf21zNjb15E7KcdbTtr8TE0iJAuVYxBtNRWsVhExOMO/ QqXWnHL015pv8Dubwt6iDr8ObCDNOItPtszlNjCz4yN51aGTrHGZ0CJcbcUWqxOm W1wrQmnYWUaz1eDahmbnowXshqI8RcGqvzUlZ0/g6nEbAJZgbk7jozC1VlwOKMM4 erhkw5mrrpicX3cvP3wl3JyhB6vbAfK4XQH3CfrnK12BhpgG0+9V5DKxTL02f+5m ckJI9cZqSYx8rhlDlNbR33kSOY0Ba2RwvmMxhdypd38l5S8oSwTRu5eJ4VrrSeeM wiW3gIxLA+o+SD2iFKyafsWLeu+Axx5/HlIVB+g82dGKkZrrESEvO9LpdlaS+AMW 9BccbDD2SGE2UZKlK4zx2QwYvnFG/ZDRjmvQV0dQOxiy0j2l7WHmbedlTTUUd5FU 0cfSG+cJHnToa/VRU4mDHvFpnV+AF0dA1s0oemhN5vOqhDzHnKasFFpUDH88mS7K gbXELYiHTQEB/s/Hr0crjwVQQCbJFe4bBJzhcnwuOcdNUKLmF7MidvoyKYYu20oE P6F0/RoDwS2FW3RyrKeSzlLWnuarfTq84iMaPgKrOl8XNfaSgGRsG3kxGe0s3rVs iwzaO8THoCLp6WpEebfucmSCMXtKfVG/28u/dvQkz1D0oqTcWqhQiDLqZI3HjdDr io44DARVGKAsEvq75Jq91GXP+1R8yejpP1lZU4onX1i0E8DMuVEU85JN+kFXbS83 6nZHmYhgwj93IvetNiK5cJs2M19LnJj5GrONmPMizoXCIBjzDx0MO/3CoRF5achF p598lYloyvlS1VYhwmLrpFmz0BB9OEepvdq0ZX11XM532I6WIF4lAUh0YEx1FInO XJ74LC2uMxa92W6nceJAjiraJKhi4VnURhPa7MUt/2oA5WY8zzmVGn94UlPsEmPj /nl7vXBVLb9Nojt9AkIO637bT+1wszCvOH8nelnzNDsCBi9B8+mdgzizEN08UKSk dCaNbCB86LVeo+umyY5abmgr2NOI7XaSTqWMs7ezemR5AkIUka35LgVIKvZw2WEz G3KxZImSviV+XMsakqGTdXof7k1usEcmbJ/EJLi9ecaxMZKuLjT9sFtNo8uvE/m1 1pf4bGnGXgBERGpZsqnm+JNxDDTbD1WntdPpyeF8/6iXd/eNiHboV830Olj0dXJ4 YbTrQBcWbfUeZ8+8gGJ0bgshMtPCrOdYVMAfWfcu7DyFi0tQdtS1pmo5Co+OwLxe IyKgwlIYOghCE3r6SBCrx0+sTP0sixV5Refu2JIBkjoywPavmK3+109l1F0BkzST fQ1pAwENGx0oLVFdZHB1f4CSlZaiq8Te7AtOfX6Qtba4w8bP1+j2FSVCWGt4goSv s7TAwcrR1drv9BRiaH2qytnr8PcAAAAAAAAAAAAAAAAAAAAAFSM2QA== -----END CERTIFICATE-----¶
SEQUENCE {
SEQUENCE {
[0] {
INTEGER { 2 }
}
INTEGER { `159ffe6f22fd5cc42c524df6fd5e28d0de38f34f` }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.17 }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
UTCTime { "200203043210Z" }
UTCTime { "400129043210Z" }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.1 }
}
BIT_STRING { `00` `3995815e597d104355cf29aa5333c93251869d5
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0b81c3bc59a065a1b6d63b26c` }
}
[3] {
SEQUENCE {
SEQUENCE {
# keyUsage
OBJECT_IDENTIFIER { 2.5.29.15 }
BOOLEAN { TRUE }
OCTET_STRING {
BIT_STRING { b`001` }
}
}
SEQUENCE {
# subjectKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.14 }
OCTET_STRING {
OCTET_STRING { `0ec592a5971e7e8da078a86e4674f2fb11f6
e8d7` }
}
}
SEQUENCE {
# authorityKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.35 }
OCTET_STRING {
SEQUENCE {
[0 PRIMITIVE] { `329a07b1fabb48f52a309f11a1898f848
e2322ff` }
}
}
}
}
}
}
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.17 }
}
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43a58f475727861b4eb4017166df51e67cfbc8062746e0b2132d3c2ace75854c
01f59f72eec3c858b4b5076d4b5a66a390a8f8ec0bc5e2322a0c252183a08421
37afa4810abc74fac4cfd2c8b157945e7eed89201923a32c0f6af98adfed74f6
5d45d019334937d0d6903010d1b1d282d515d6470757f80929596a2abc4deec0
b4e7d7e90b5b6b8c3c6cfd7e8f6152542586b788284afb3b4c0c1cad1d5daeff
41462687daacad9ebf0f70000000000000000000000000000000015233640` }
}
¶
The following is the ML-KEM-768 certificate that corresponding to the public key in the previous section signed with the ML-DSA-65 private key from [I-D.ietf-lamps-dilithium-certificates].¶
-----BEGIN CERTIFICATE----- MIISnTCCBZqgAwIBAgIUFZ/+byL9XMQsUk32/V4o0N44808wCwYJYIZIAWUDBAMS MCIxDTALBgNVBAoTBElFVEYxETAPBgNVBAMTCExBTVBTIFdHMB4XDTIwMDIwMzA0 MzIxMFoXDTQwMDEyOTA0MzIxMFowIjENMAsGA1UEChMESUVURjERMA8GA1UEAxMI TEFNUFMgV0cwggSyMAsGCWCGSAFlAwQEAgOCBKEAKYqhDUI8jdoGnQK8WebN8DoJ a4s9pMq5uAykoUkHZyzO8exPryNKC8W36dRz8rMTOzsmodF1y2engFkZaZwC92Ux uZxfiRgHBLtMpFNcW4lyZ5xmCgfF5RS4cAnIYuuPUVdpXvs/xAqd72uBwcwCokmu TwlK0Nm9NIXBwcaAgFIKfIxjIDLO5zgVTlxRdsB9pWAkd2pDD+durPZlo/e4MhAi FbyC8Qk5yDVXBDNqj6wdgeS7BIWqXXx01rWbvlxelyoNi6xBG1W11VV81oChqPcb TrhrxIyaBQlzGlS9nXKQsnlj5DctybGZz9ysCwGs0opiOVES5MQ2SNYixIyCNNAU QOjMN2ySfyOlr8msBHTGYidOQkUlyFUuzjs/4mUW3pAbx9UVveiVWOYmyVyAuTNC +AEABPOebGyUhxxeNEyrOWbINfmpalmv0xxAKGs4scGnhHC6uUdRiTRFPOhnNqkZ 8fWm1RCob1RU/DmAy1x2W9K9X3s2sUENZjXIzrR8TdoNdqKOrJOcccMCSASGbHFi ZlhEIWPCwiEX5QrO/OY3iphWUjAqTvDCzgzHFrd5bitrLjd336GsPaJZoxtam1MP jLY4qBpirDAYSauvlacwG9owBokJv9t+Z9vMuzilVRolsaOg9oV0itV1PYiA8AFs 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SEQUENCE {
SEQUENCE {
[0] {
INTEGER { 2 }
}
INTEGER { `159ffe6f22fd5cc42c524df6fd5e28d0de38f34f` }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.18 }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
UTCTime { "200203043210Z" }
UTCTime { "400129043210Z" }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.2 }
}
BIT_STRING { `00` `298aa10d423c8dda069d02bc59e6cdf03a096b8
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3e2cb32da8bc342fa4dea0578` }
}
[3] {
SEQUENCE {
SEQUENCE {
# keyUsage
OBJECT_IDENTIFIER { 2.5.29.15 }
BOOLEAN { TRUE }
OCTET_STRING {
BIT_STRING { b`001` }
}
}
SEQUENCE {
# subjectKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.14 }
OCTET_STRING {
OCTET_STRING { `42bcb5a167fa330449612dbd8187056a7518
f787` }
}
}
SEQUENCE {
# authorityKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.35 }
OCTET_STRING {
SEQUENCE {
[0 PRIMITIVE] { `1b0563e3cd3346149c8c9ebcf23b0a4e5
a900eea` }
}
}
}
}
}
}
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.18 }
}
BIT_STRING { `00` `f26b7c753fb82773fe37fa0c08d5b6cfc8b16191b3d
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00000000000000000000000000000000000050c15191f25` }
}
¶
The following is the ML-KEM-1024 certificate that corresponding to the public key in the previous section signed with the ML-DSA-87 private key from [I-D.ietf-lamps-dilithium-certificates].¶
-----BEGIN CERTIFICATE----- MIIZQzCCBxqgAwIBAgIUFZ/+byL9XMQsUk32/V4o0N44808wCwYJYIZIAWUDBAMT MCIxDTALBgNVBAoTBElFVEYxETAPBgNVBAMTCExBTVBTIFdHMB4XDTIwMDIwMzA0 MzIxMFoXDTQwMDEyOTA0MzIxMFowIjENMAsGA1UEChMESUVURjERMA8GA1UEAxMI TEFNUFMgV0cwggYyMAsGCWCGSAFlAwQEAwOCBiEAS5TClFAREZGCOzUUyaweo9mC XMuGOTot+wRlT6IZLTe/rRxJfGUC7uXKgKc7/OC69aVKiFhaQBOXo9Iy9Canr7CC vCGkQxcJDqrHWSwuqIplPESR6hk5MTNfUumJo8TMVtnFU3MtV8Rw+0GrdZtl0tBE RTgvzZxONEoRKPqeEeBDWOGS7QFLIyMqfuKyLiNxf0QRHuM1dTmcN2RtqYE+ybIS r+lOXcXCMwpylMwfQjSm0/u08WhauIksBKyxfNHBcNewYRtqcXbHlMyMZ/VfySPC rSAxAPNlmRiCwwJD13gThDtex8lkAyJjcGCS7PAMdRa+ZORZjKQibAabteZ+QXXP IobI3VxIimxYYfMbqgvQJpRw6LVR3TvNOMhsEvnNsXbHfci2wCpwH0eJAshVP2lM DYJye0xKXCwQQSEqoSdICLghEbN37HUhTpsZePdgBNQTnZhhP0uOmNIK97U0BzpQ mpWbenVk+bQMohi/YYKTIKhQIBeVTTKNesbHaewpcAdW57BoWzQNXhGAWVBKSaml ChAZjrEKV4RnjrQn17S6u5VSkzsGKJeXPhMY6vCg6sN1hKZUAbFwPgQqzNg3UxSD 8kHK3NHB03gRnmlEKdsZmsiR5MU0N1cIW7OueDZnNQxEWNl2cuhh6AsdJnlRDqOm 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kNggIp4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQIDxcdKS4x -----END CERTIFICATE-----¶
SEQUENCE {
SEQUENCE {
[0] {
INTEGER { 2 }
}
INTEGER { `159ffe6f22fd5cc42c524df6fd5e28d0de38f34f` }
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.19 }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
UTCTime { "200203043210Z" }
UTCTime { "400129043210Z" }
}
SEQUENCE {
SET {
SEQUENCE {
# organizationName
OBJECT_IDENTIFIER { 2.5.4.10 }
PrintableString { "IETF" }
}
}
SET {
SEQUENCE {
# commonName
OBJECT_IDENTIFIER { 2.5.4.3 }
PrintableString { "LAMPS WG" }
}
}
}
SEQUENCE {
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.4.3 }
}
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}
[3] {
SEQUENCE {
SEQUENCE {
# keyUsage
OBJECT_IDENTIFIER { 2.5.29.15 }
BOOLEAN { TRUE }
OCTET_STRING {
BIT_STRING { b`001` }
}
}
SEQUENCE {
# subjectKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.14 }
OCTET_STRING {
OCTET_STRING { `da82182c39ebdb350d904ee4bc507b72043f
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}
}
SEQUENCE {
# authorityKeyIdentifier
OBJECT_IDENTIFIER { 2.5.29.35 }
OCTET_STRING {
SEQUENCE {
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}
}
}
}
}
}
SEQUENCE {
OBJECT_IDENTIFIER { 2.16.840.1.101.3.4.3.19 }
}
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}
¶
The authors wish to thank the following people for their contributions to this document: Deirdre Connolly, Viktor Dukhovni, Alicja Kario, Russ Housley, Mike Ounsworth, Daniel Van Geest, Thom Wiggers, and Carl Wallace.¶
In addition, we would like to thank those who contributed to the private key format discussion: Tony Arcieri, Bob Beck, Dmitry Belyavskiy, David Benjamin, Daniel Bernstein, Uri Blumenthal, Theo Buehler, Stephen Farrell, Jean-Pierre Fiset, Scott Fluhrer, Alex Gaynor, John Gray, Peter Gutmann, David Hook, Tim Hudson, Paul Kehrer, John Kemp, Watson Ladd, Adam Langley, John Mattsson, Damien Miller, Robert Relyea, Michael Richardson, Markku-Juhani O. Saarinen, Rich Salz, Roland Shoemaker, Sophie Schmieg, Simo Sorce, Michael St. Johns, Falko Strenzke, Filippo Valsorda, and Wei-Jun Wang.¶