CBOR Object Signing and Encryption M. Prorock Internet-Draft mesur.io Intended status: Standards Track O. Steele Expires: 3 October 2025 Transmute R. Misoczki Google M. Osborne IBM C. Cloostermans NXP 1 April 2025 ML-DSA for JOSE and COSE draft-ietf-cose-dilithium-06 Abstract This document describes JSON Object Signing and Encryption (JOSE) and CBOR Object Signing and Encryption (COSE) serializations for Module- Lattice-Based Digital Signature Standard (ML-DSA), a Post-Quantum Cryptography (PQC) digital signature scheme defined in FIPS 204. 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://cose- wg.github.io/draft-ietf-cose-dilithium/draft-ietf-cose- dilithium.html. Status information for this document may be found at https://datatracker.ietf.org/doc/draft-ietf-cose-dilithium/. Discussion of this document takes place on the CBOR Object Signing and Encryption Working Group mailing list (mailto:cose@ietf.org), which is archived at https://mailarchive.ietf.org/arch/browse/cose/. Subscribe at https://www.ietf.org/mailman/listinfo/cose/. Source for this draft and an issue tracker can be found at https://github.com/cose-wg/draft-ietf-cose-dilithium. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Prorock, et al. Expires 3 October 2025 [Page 1] Internet-Draft jose-cose-dilithium April 2025 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. Copyright Notice Copyright (c) 2025 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/ license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Revised BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Revised BSD License. Table of Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 3 2. Terminology . . . . . . . . . . . . . . . . . . . . . . . . . 3 3. Algorithm Key Pair Type . . . . . . . . . . . . . . . . . . . 3 4. ML-DSA Private Keys . . . . . . . . . . . . . . . . . . . . . 5 5. ML-DSA Algorithms . . . . . . . . . . . . . . . . . . . . . . 6 6. AKP Thumbprints . . . . . . . . . . . . . . . . . . . . . . . 8 7. Security Considerations . . . . . . . . . . . . . . . . . . . 9 7.1. Size of keys and signatures . . . . . . . . . . . . . . . 9 7.2. Regarding HashML-DSA . . . . . . . . . . . . . . . . . . 9 7.3. Validation of keys . . . . . . . . . . . . . . . . . . . 9 7.4. Mismatched AKP parameters . . . . . . . . . . . . . . . . 9 8. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 10 8.1. Additions to Existing Registries . . . . . . . . . . . . 10 8.1.1. New COSE Algorithms . . . . . . . . . . . . . . . . . 10 8.1.2. New COSE Key Types . . . . . . . . . . . . . . . . . 11 8.1.3. New COSE Key Type Parameters . . . . . . . . . . . . 11 8.1.4. AKP Seed . . . . . . . . . . . . . . . . . . . . . . 11 8.1.5. AKP Public Key . . . . . . . . . . . . . . . . . . . 11 8.1.6. AKP Private Key . . . . . . . . . . . . . . . . . . . 12 8.1.7. New JOSE Algorithms . . . . . . . . . . . . . . . . . 12 Prorock, et al. Expires 3 October 2025 [Page 2] Internet-Draft jose-cose-dilithium April 2025 8.1.8. New JOSE Key Types . . . . . . . . . . . . . . . . . 13 8.1.9. New JSON Web Key Parameters . . . . . . . . . . . . . 14 9. References . . . . . . . . . . . . . . . . . . . . . . . . . 15 9.1. Normative References . . . . . . . . . . . . . . . . . . 15 9.2. Informative References . . . . . . . . . . . . . . . . . 16 Appendix A. Examples . . . . . . . . . . . . . . . . . . . . . . 16 A.1. JOSE . . . . . . . . . . . . . . . . . . . . . . . . . . 16 A.2. COSE . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . 18 Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 18 1. Introduction This document describes how to use ML-DSA keys and signatures as described in [FIPS-204] with JOSE and COSE. 2. 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. Some examples in this specification are truncated using "..." for readability. 3. Algorithm Key Pair Type This section describes a generic cryptographic key structure for use with algorithms not limited to those registered in this document. The Algorithm Key Pair (AKP) Type is used to express Public and Private Keys for use with Algorithms. The concept of public and private information classes for key pairs originates from Section 8.1 of [RFC7517]. The parameters for public and private information classes contain byte strings in a format specified by the "alg" value. The "alg" JSON Web Key Parameter or COSE Key Common Parameter is REQUIRED for all AKP keys. The "pub" parameter contains public information and is REQUIRED. The "priv" parameter contains private information and MUST NOT be present in public keys. Some algorithm specifications, such as ML-DSA, might allow for use of multiple key type parameters for private information. When registering new algorithms, use of multiple key type parameters for private information is NOT RECOMMENDED. The "seed" parameter contains private information and MUST NOT be present in public keys. Prorock, et al. Expires 3 October 2025 [Page 3] Internet-Draft jose-cose-dilithium April 2025 If the associated "alg" value does not define seed expansion, then "seed" parameter MUST NOT be present, and the "priv" parameter is used for the private key, if present. If both "seed" and "priv" parameters are present, then the seed in "seed" parameter MUST expand to the key in "priv" parameter following the seed expansion procedure for the associated "alg" value. Whether "seed" is allowed, and how it is related to "pub" and "priv" is algorithm specific and needs to be described as part of specifying the use of AKP for a given algorithm, see below for an example of how this is done for ML-DSA. Some algorithms might require or encourage additional structure or length checks for associated key type parameters. When AKP keys are expressed in JWK, key parameters are base64url encoded. This document requests the registration of the following key types in [IANA.jose]: +====================+=====+=========================+ | Name | kty | Description | +====================+=====+=========================+ | Algorithm Key Pair | AKP | JSON Web Key Type for | | | | the Algorithm Key Pair. | +--------------------+-----+-------------------------+ Table 1: Algorithm Key Pair Type for JOSE An example truncated private key for use with ML-DSA-44 in JWK format is provided below: { "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o", "kty": "AKP", "alg": "ML-DSA-44", "pub": "unH59k4Ru...DZgbTP07e7gEWzw4MFRrndjbDQ", "seed": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA" } Figure 1: The all zeros ML-DSA-44 JSON Web Key This document requests the registration of the following key type in [IANA.cose]: Prorock, et al. Expires 3 October 2025 [Page 4] Internet-Draft jose-cose-dilithium April 2025 +======+==============================+=======================+ | Name | kty | Description | +======+==============================+=======================+ | AKP | TBD (requested assignment 7) | COSE Key Type for the | | | | Algorithm Key Pair. | +------+------------------------------+-----------------------+ Table 2: Algorithm Key Pair Type for COSE An example truncated private key for use with ML-DSA-44 in COSE_Key format is provided below: { / kid / 2: h'b8969ab4b37da9f068...6f0583bf5b8d3a8059a', / kty / 1: 7, / AKP / / alg / 3: -48, / ML-DSA-44 / / pub / -1: h'ba71f9f64e11baeb589...3830546b9dd8db0d', / seed / -3: h'00000000000000...0000000000000000' } Figure 2: The all zeros ML-DSA-44 COSE Key The AKP key type and thumbprint computations are generic, and suitable for use with algorithms other than ML-DSA. 4. ML-DSA Private Keys Note that FIPS 204 defines 2 expressions for private keys: a seed, and a private key that is expanded from the seed. Similar to [I-D.draft-ietf-lamps-dilithium-certificates] the following cases are possible: 1. Only the "seed" parameter is present. 2. Only the "priv" parameter is present. 3. Both parameters are present. When "seed" is present, it MUST have a length of 32 bytes. When both "seed" and "priv" are present, the "seed" parameter MUST expand to the "priv" parameter. When "priv" is present, "seed" SHOULD be present to enable validation of the private key expansion process. Validation and expansion of private keys might be skipped in constrained environments. See Security Considerations of this document for details. Prorock, et al. Expires 3 October 2025 [Page 5] Internet-Draft jose-cose-dilithium April 2025 Here is an elided example of the case where both "seed" and "priv" are present: { "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o", "kty": "AKP", "alg": "ML-DSA-44", "pub": "unH59k4Ru...DZgbTP07e7gEWzw4MFRrndjbDQ", "seed": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA", "priv": "129kadu...DZgbTP07e7gEWzw4MFRr54" } Figure 3: The all zeros ML-DSA-44 JSON Web Key with both seed and priv parameters 5. ML-DSA Algorithms The ML-DSA Signature Scheme is parameterized to support different security levels. In this document, the abbreviations ML-DSA-44, ML-DSA-65, and ML- DSA-87 are used to refer to ML-DSA with the parameter choices given in Table 1 of FIPS-204. This document requests the registration of the following algorithms in [IANA.jose]: +===========+===========+=========================+ | Name | value | Description | +===========+===========+=========================+ | ML-DSA-44 | ML-DSA-44 | JSON Web Signature | | | | Algorithm for ML-DSA-44 | +-----------+-----------+-------------------------+ | ML-DSA-65 | ML-DSA-65 | JSON Web Signature | | | | Algorithm for ML-DSA-65 | +-----------+-----------+-------------------------+ | ML-DSA-87 | ML-DSA-87 | JSON Web Signature | | | | Algorithm for ML-DSA-87 | +-----------+-----------+-------------------------+ Table 3: JOSE algorithms for ML-DSA This document requests the registration of the following algorithms in [IANA.cose]: Prorock, et al. Expires 3 October 2025 [Page 6] Internet-Draft jose-cose-dilithium April 2025 +===========+=================+=========================+ | Name | value | Description | +===========+=================+=========================+ | ML-DSA-44 | TBD (requested | CBOR Object Signing | | | assignment -48) | Algorithm for ML-DSA-44 | +-----------+-----------------+-------------------------+ | ML-DSA-65 | TBD (requested | CBOR Object Signing | | | assignment -49) | Algorithm for ML-DSA-65 | +-----------+-----------------+-------------------------+ | ML-DSA-87 | TBD (requested | CBOR Object Signing | | | assignment -50) | Algorithm for ML-DSA-87 | +-----------+-----------------+-------------------------+ Table 4: COSE algorithms for ML-DSA In accordance with Algorithm Key Pair Type section of this document, ML-DSA key parameters have the following additional constraints: The "pub" parameter is the ML-DSA public key, as described in Section 5.3 of FIPS-204. The size of "pub", and the associated signature for each of these algorithms is defined in Table 2 of FIPS-204, and repeated here for convenience: +===========+=============+============+================+ | Algorithm | Private Key | Public Key | Signature Size | +===========+=============+============+================+ | ML-DSA-44 | 2560 | 1312 | 2420 | +-----------+-------------+------------+----------------+ | ML-DSA-65 | 4032 | 1952 | 3309 | +-----------+-------------+------------+----------------+ | ML-DSA-87 | 4896 | 2592 | 4627 | +-----------+-------------+------------+----------------+ Table 5: Sizes (in bytes) of keys and signatures of ML-DSA Note that "seed" size is always 32 bytes, and that KeyGen_internal is called to produce the private key sizes for "priv" in the table above. See the ML-DSA Private Keys section of this document for more details. These algorithms are used to produce signatures as described in Algorithm 2 of FIPS-204. Prorock, et al. Expires 3 October 2025 [Page 7] Internet-Draft jose-cose-dilithium April 2025 The ctx parameter MUST be the empty string for ML-DSA-44, ML-DSA-65 and ML-DSA-87. Signatures are encoded as bytestrings using the algorithms defined in Section 7.2 of FIPS-204. When producing JSON Web Signatures, the signature bytestrings are base64url encoded, and the encoded signature size is larger than described in the table above. 6. AKP Thumbprints When computing the COSE Key Thumbprint as described in [I-D.draft-ietf-cose-key-thumbprint], the required parameters for algorithm key pairs are: * "kty" (label: 1, data type: int, value: 7) * "alg" (label: 3, data type: int, value: int) * "pub" (label: -1, value: bstr) The COSE Key Thumbprint is produced according to the process described in Section 3 of [I-D.draft-ietf-cose-key-thumbprint]. When computing the JWK Thumbprint as described in [RFC7638], the required parameters for algorithm key pairs are: * "kty" * "alg" * "pub" Their lexicographic order, per Section 3.3 of [RFC7638], is: * "alg" * "kty" * "pub" The JWK Key Thumbprint is produced according to the process described in Section 3 of [RFC7638]. See the kid values in the JSON Web Key and COSE Key examples in the appendix for examples of AKP thumbprints. Prorock, et al. Expires 3 October 2025 [Page 8] Internet-Draft jose-cose-dilithium April 2025 7. Security Considerations The security considerations of [RFC7515], [RFC7517] and [RFC9053] applies to this specification as well. A detailed security analysis of ML-DSA is beyond the scope of this specification, see [FIPS-204] for additional details. 7.1. Size of keys and signatures Table 2 of FIPS-204 describes the size of keys and signatures. ML- DSA might not be the best choice for use cases that require small keys or signatures. Use of thumbprints as described in [RFC7638] and [I-D.draft-ietf-cose-key-thumbprint] can reduce the need to repeat public key representations. 7.2. Regarding HashML-DSA This document does not specify algorithms for use with HashML-DSA as described in Section 5.4 of FIPS-204. 7.3. Validation of keys When an AKP algorithm requires or encourages that a key be validated before being used, all algorithm related key parameters MUST be validated. Section 7.2 of FIPS-204 describes the encoding of ML-DSA keys and signatures. The "pub" key parameter MUST be validated according to the pkEncode and pkDecode algorithms before being used. For the ML- DSA algorithms registered in this document, the "seed" key parameter is a seed, and as such only a length check MUST be performed. The length of the seed is 256 bits, which is 32 bytes. However, if the private key ("priv") is derived from the seed using KeyGen_internal is stored as part of some implementation, the skEncode and skDecode algorithms MUST be used. FIPS-204 notes, "skDecode should only be run on inputs that come from trusted sources" and that "as the seed can be used to compute the private key, it is sensitive data and shall be treated with the same safeguards as a private key". 7.4. Mismatched AKP parameters When using an AKP key with an algorithm, it is possible that the public and private information class parameters have been tampered with or mismatched. Depending on the algorithm and implementation, the consequences of using mismatched parameters can range from operations failing to key compromise. Prorock, et al. Expires 3 October 2025 [Page 9] Internet-Draft jose-cose-dilithium April 2025 8. IANA Considerations 8.1. Additions to Existing Registries 8.1.1. New COSE Algorithms IANA is requested to add the following entries to the COSE Algorithms Registry. The following completed registration templates are provided as described in RFC9053 and RFC9054. 8.1.1.1. ML-DSA-44 * Name: ML-DSA-44 * Value: TBD (requested assignment -48) * Description: CBOR Object Signing Algorithm for ML-DSA-44 * Capabilities: [kty] * Reference: RFC XXXX * Recommended: Yes 8.1.1.2. ML-DSA-65 * Name: ML-DSA-65 * Value: TBD (requested assignment -49) * Description: CBOR Object Signing Algorithm for ML-DSA-65 * Capabilities: [kty] * Reference: RFC XXXX * Recommended: Yes 8.1.1.3. ML-DSA-87 * Name: ML-DSA-87 * Value: TBD (requested assignment -50) * Description: CBOR Object Signing Algorithm for ML-DSA-87 * Capabilities: [kty] Prorock, et al. Expires 3 October 2025 [Page 10] Internet-Draft jose-cose-dilithium April 2025 * Reference: RFC XXXX * Recommended: Yes 8.1.2. New COSE Key Types IANA is requested to add the following entries to the COSE Key Types Registry. The following completed registration templates are provided as described in RFC9053. 8.1.2.1. AKP * Name: AKP * Value: TBD (requested assignment 7) * Description: COSE Key Type for Algorithm Key Pairs * Capabilities: [kty(7)] * Reference: RFC XXXX 8.1.3. New COSE Key Type Parameters IANA is requested to add the following entries to the COSE Key Type Parameters. The following completed registration templates are provided as described in RFC9053. 8.1.4. AKP Seed * Key Type: TBD (requested assignment 7) * Name: seed * Label: -3 * CBOR Type: bstr * Description: Seed used to derive keys for an algorithm * Reference: RFC XXXX 8.1.5. AKP Public Key * Key Type: TBD (requested assignment 7) * Name: pub Prorock, et al. Expires 3 October 2025 [Page 11] Internet-Draft jose-cose-dilithium April 2025 * Label: -1 * CBOR Type: bstr * Description: Public key * Reference: RFC XXXX 8.1.6. AKP Private Key * Key Type: TBD (requested assignment 7) * Name: priv * Label: -2 * CBOR Type: bstr * Description: Private key * Reference: RFC XXXX 8.1.7. New JOSE Algorithms IANA is requested to add the following entries to the JSON Web Signature and Encryption Algorithms Registry. The following completed registration templates are provided as described in RFC7518. 8.1.7.1. ML-DSA-44 * Algorithm Name: ML-DSA-44 * Algorithm Description: ML-DSA-44 as described in FIPS 204. * Algorithm Usage Location(s): alg * JOSE Implementation Requirements: Optional * Change Controller: IETF * Value registry: [IANA.jose] Algorithms * Specification Document(s): RFC XXXX * Algorithm Analysis Documents(s): [FIPS-204] Prorock, et al. Expires 3 October 2025 [Page 12] Internet-Draft jose-cose-dilithium April 2025 8.1.7.2. ML-DSA-65 * Algorithm Name: ML-DSA-65 * Algorithm Description: ML-DSA-65 as described in FIPS 204. * Algorithm Usage Location(s): alg * JOSE Implementation Requirements: Optional * Change Controller: IETF * Value registry: [IANA.jose] Algorithms * Specification Document(s): RFC XXXX * Algorithm Analysis Documents(s): [FIPS-204] 8.1.7.3. ML-DSA-87 * Algorithm Name: ML-DSA-87 * Algorithm Description: ML-DSA-87 as described in FIPS 204. * Algorithm Usage Location(s): alg * JOSE Implementation Requirements: Optional * Change Controller: IETF * Value registry: [IANA.jose] Algorithms * Specification Document(s): RFC XXXX * Algorithm Analysis Documents(s): [FIPS-204] 8.1.8. New JOSE Key Types IANA is requested to add the following entries to the JSON Web Key Types Registry. The following completed registration templates are provided as described in RFC7518 RFC7638. 8.1.8.1. AKP * "kty" Parameter Value: AKP * Key Type Description: Algorithm Key Pair Prorock, et al. Expires 3 October 2025 [Page 13] Internet-Draft jose-cose-dilithium April 2025 * JOSE Implementation Requirements: Optional * Change Controller: IETF * Specification Document(s): RFC XXXX 8.1.9. New JSON Web Key Parameters IANA is requested to add the following entries to the JSON Web Key Parameters Registry. The following completed registration templates are provided as described in RFC7517, and RFC7638. 8.1.9.1. AKP Seed * Parameter Name: seed * Parameter Description: Seed used to derive keys for an algorithm * Used with "kty" Value(s): AKP * Parameter Information Class: Private * Change Controller: IETF * Specification Document(s): RFC XXXX 8.1.9.2. AKP Public Key * Parameter Name: pub * Parameter Description: Public key * Used with "kty" Value(s): AKP * Parameter Information Class: Public * Change Controller: IETF * Specification Document(s): RFC XXXX 8.1.9.3. AKP Private Key * Parameter Name: priv * Parameter Description: Private key * Used with "kty" Value(s): AKP Prorock, et al. Expires 3 October 2025 [Page 14] Internet-Draft jose-cose-dilithium April 2025 * Parameter Information Class: Private * Change Controller: IETF * Specification Document(s): RFC XXXX 9. References 9.1. Normative References [I-D.draft-ietf-cose-key-thumbprint] Isobe, K., Tschofenig, H., and O. Steele, "CBOR Object Signing and Encryption (COSE) Key Thumbprint", Work in Progress, Internet-Draft, draft-ietf-cose-key-thumbprint- 06, 6 September 2024, . [IANA.cose] IANA, "CBOR Object Signing and Encryption (COSE)", . [IANA.jose] IANA, "JSON Object Signing and Encryption (JOSE)", . [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997, . [RFC7515] Jones, M., Bradley, J., and N. Sakimura, "JSON Web Signature (JWS)", RFC 7515, DOI 10.17487/RFC7515, May 2015, . [RFC7517] Jones, M., "JSON Web Key (JWK)", RFC 7517, DOI 10.17487/RFC7517, May 2015, . [RFC7638] Jones, M. and N. Sakimura, "JSON Web Key (JWK) Thumbprint", RFC 7638, DOI 10.17487/RFC7638, September 2015, . [RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, May 2017, . Prorock, et al. Expires 3 October 2025 [Page 15] Internet-Draft jose-cose-dilithium April 2025 [RFC9053] Schaad, J., "CBOR Object Signing and Encryption (COSE): Initial Algorithms", RFC 9053, DOI 10.17487/RFC9053, August 2022, . 9.2. Informative References [FIPS-204] "Module-Lattice-Based Digital Signature Standard", n.d., . [I-D.draft-ietf-lamps-dilithium-certificates] Massimo, J., Kampanakis, P., Turner, S., and B. Westerbaan, "Internet X.509 Public Key Infrastructure: Algorithm Identifiers for ML-DSA", Work in Progress, Internet-Draft, draft-ietf-lamps-dilithium-certificates- 07, 2 February 2025, . [NIST-PQC-2022] "Selected Algorithms 2022", n.d., . Appendix A. Examples A.1. JOSE { "seed": "0000000000000000000000000000000000000000000000000000000000000000", "jwk": { "kid": "T4xl70S7MT6Zeq6r9V9fPJGVn76wfnXJ21-gyo0Gu6o", "kty": "AKP", "alg": "ML-DSA-44", "pub": "unH59k4RuutY-pxvu24U5h8YZD2rSVtHU5qRZsoBmBMcRPgmu9VuNOVdteXi1zNIXjnqJg_GAAxepLqA00Vc3lO0bzRIKu39VFD8Lhuk8l0V-cFEJC-zm7UihxiQMMUEmOFxe3x1ixkKZ0jqmqP3rKryx8tSbtcXyfea64QhT6XNje2SoMP6FViBDxLHBQo2dwjRls0k5a-XSQSu2OTOiHLoaWsLe8pQ5FLNfTDqmkrawDEdZyxr3oSWJAsHQxRjcIiVzZuvwxYy1zl2STiP2vy_fTBaPemkleynQzqPg7oPCyXEE8bjnJbrfWkbNNN8438e6tHPIX4l7zTuzz98YPhLjt_d6EBdT4MldsYe-Y4KLyjaGHcAlTkk9oa5RhRwW89T0z_t1DSO3dvfKLUGXh8gd1BD6Fz5MfgpF5NjoafnQEqDjsAAhrCXY4b-Y3yYJEdX4_dp3dRGdHG_rWcPmgX4JG7lCnser4f8QGnDriqiAzJYEXeS8LzUngg_0bx0lqv_KcyU5IaLISFO0xZSU5mmEPvdSoDnyAcV8pV44qhLtAvd29n0ehG259oRihtljTWeiu9V60a1N2tbZVl5mEqSK-6_xZvNYA1TCdzNctvweH24unV7U3wer9XA9Q6kvJWDVJ4oKaQsKMrCSMlteBJMRxWbGK7ddUq6F7GdQw-3j2M-qdJvVKm9UPjY9rc1lPgol25-oJxTu7nxGlbJUH-4m5pevAN6NyZ6lfhbjWTKlxkrEKZvQXs_Yf6cpXEwpI_ZJeriq1UC1XHIpRkDwdOY9MH3an4RdDl2r9vGl_IwlKPNdh_5aF3jLgn7PCit1FNJAwC8fIncAXgAlgcXIpRXdfJk4bBiO89GGccSyDh2EgXYdpG3XvNgGWy7npuSoNTE7WIyblAk13UQuO4sdCbMIuriCdyfE73mvwj15xgb07RZRQtFGlFTmnFcIdZ90zDrWXDbANntv7KCKwNvoTuv64bY3HiGbj-NQ-U9eMylWVpvr4hrXcES8c9K3PqHWADZC0iIOvlzFv4VBoc_wVflcOrL_SIoaNFCNBAZZq-2v5lAgpJTqVOtqJ_HVraoSfcKy5g45p-qULunXj6Jwq21fobQiKubBKKOZwcJFyJD7F4ACKXOrz-HIvSHMCWW_9dVrRuCpJw0s0aVFbRqopDNhu446nqb4_EDYQM1tTHMozPd_jKxRRD0sH75X8ZoToxFSpLBDbtdWcenxj-zBf6IGWfZnmaetjKEBYJWC7QDQx1A91pJVJCEgieCkoIfTqkeQuePpIyu48g2FG3P1zjRF-kumhUTfSjo5qS0YiZQy0E1BMs6M11EvuxXRsHClLHoy5nLYI2Sj4zjVjYyxSHyPRPGGo9hwB34yWxzYNtPPGiqXS_dNCpi_zRZwRY4lCGrQ-hYTEWIK1Dm5OlttvC4_eiQ1dv63NiGkLRJ5kJA3bICN0fzCDY-MBqnd1cWn8YVBijVkgtaoascjL9EywDgJdeHnXK0eeOvUxHHhXJVkNqcibn8O4RQdpVU60TSA-uiu675ytIjcBHC6kTv8A8pmkj_4oypPd-F92YIJC741swkYQoeIHj8rE-ThcMUkF7KqC5VORbZTRp8HsZSqgiJcIPaouuxd1-8Rxrid3fXkE6p8bkrysPYoxWEJgh7ZFsRCPDWX-yTeJwFN0PKFP1j0F6YtlLfK5wv-c4F8ZQHA_-yc_gODicy7KmWDZgbTP07e7gEWzw4MFRrndjbDQ", "seed": "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA" }, "jws": 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} Figure 4: ML_DSA_44 Prorock, et al. Expires 3 October 2025 [Page 16] Internet-Draft jose-cose-dilithium April 2025 { "seed": "0000000000000000000000000000000000000000000000000000000000000000", "jwk": { "kid": "Suiu29qbfuaBaR4Ats-c6XQBePB_OpAxAwcTR_0KXVM", "kty": "AKP", "alg": "ML-DSA-65", "pub": 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} Figure 5: ML_DSA_65 { "seed": "0000000000000000000000000000000000000000000000000000000000000000", "jwk": { "kid": "tRn1JNIkgMsABVQBlXeDHxAIcclh-2IX0UdDEzPt5XU", "kty": "AKP", "alg": "ML-DSA-87", "pub": 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} Figure 6: ML_DSA_87 A.2. COSE { "seed": "0000000000000000000000000000000000000000000000000000000000000000", "key": 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} Figure 7: ML_DSA_44 Prorock, et al. Expires 3 October 2025 [Page 17] Internet-Draft jose-cose-dilithium April 2025 { "seed": "0000000000000000000000000000000000000000000000000000000000000000", "key": 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} Figure 8: ML_DSA_65 { "seed": "0000000000000000000000000000000000000000000000000000000000000000", "key": "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} Figure 9: ML_DSA_87 Acknowledgments We would like to thank Simo Sorce, Ilari Liusvaara, Neil Madden, Anders Rundgren, David Waite, Russ Housley, Filip Skokan, and Lucas Prabel for their comments and reviews of this document. Authors' Addresses Michael Prorock mesur.io Email: mprorock@mesur.io Orie Steele Transmute Email: orie@transmute.industries Rafael Misoczki Google Email: rafaelmisoczki@google.com Prorock, et al. Expires 3 October 2025 [Page 18] Internet-Draft jose-cose-dilithium April 2025 Michael Osborne IBM Email: osb@zurich.ibm.com Christine Cloostermans NXP Email: christine.cloostermans@nxp.com Prorock, et al. Expires 3 October 2025 [Page 19]