Internet-Draft ECDHE-MLKEM December 2024
Kwiatkowski, et al. Expires 28 June 2025 [Page]
Workgroup:
Transport Layer Security
Internet-Draft:
draft-kwiatkowski-tls-ecdhe-mlkem-03
Published:
Intended Status:
Informational
Expires:
Authors:
K. Kwiatkowski
PQShield
P. Kampanakis
AWS
B. E. Westerbaan
Cloudflare
D. Stebila
University of Waterloo

Post-quantum hybrid ECDHE-MLKEM Key Agreement for TLSv1.3

Abstract

This draft defines three hybrid key agreements for TLS 1.3: X25519MLKEM768, SecP256r1MLKEM768, and SecP384r1MLKEM1024 which combine a post-quantum KEM with an elliptic curve Diffie-Hellman (ECDHE).

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://post-quantum-cryptography.github.io/draft-kwiatkowski-tls-ecdhe-mlkem/. Status information for this document may be found at https://datatracker.ietf.org/doc/draft-kwiatkowski-tls-ecdhe-mlkem/.

Discussion of this document takes place on the Transport Layer Security Working Group mailing list (mailto:tls@ietf.org), which is archived at https://mailarchive.ietf.org/arch/browse/tls/. Subscribe at https://www.ietf.org/mailman/listinfo/tls/.

Source for this draft and an issue tracker can be found at https://github.com/post-quantum-cryptography/draft-kwiatkowski-tls-ecdhe-mlkem.

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 28 June 2025.

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Table of Contents

1. Introduction

1.1. Motivation

ML-KEM is a key encapsulation method (KEM) defined in the [FIPS203]. It is designed to withstand cryptanalytic attacks from quantum computers.

This document introduces three new supported groups for hybrid post-quantum key agreements in TLS 1.3: the X25519MLKEM768, SecP256r1MLKEM768, and SecP384r1MLKEM1024 which combine ML-KEM with ECDH in the manner of [hybrid].

The first one uses X25519 [rfc7748] and is an update to X25519Kyber768Draft00 [xyber], the most widely deployed PQ/T hybrid combiner for TLS v1.3 deployed in 2024.

The second one uses secp256r1 (NIST P-256) [ECDSA] [DSS]. The goal of this group is to support a use case that requires both shared secrets to be generated by FIPS-approved mechanisms.

The third one uses secp384r1 (NIST P-384) [ECDSA] [DSS]. The goal of this group is to provide support for high security environments that require use of FIPS-approved mechanisms.

All constructions aim to provide a FIPS-approved key-establishment scheme (as per [SP56C]).

2. Conventions and Definitions

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.

3. Negotiated Groups

All groups enable the derivation of TLS session keys using FIPS-approved schemes. NIST's special publication 800-56Cr2 [SP56C] approves the usage of HKDF [HKDF] with two distinct shared secrets, with the condition that the first one is computed by a FIPS-approved key-establishment scheme. FIPS also requires a certified implementation of the scheme, which will remain more ubiqutous for secp256r1 in the coming years.

For this reason we put the ML-KEM shared secret first in X25519MLKEM768, and the ECDH shared secret first in SecP256r1MLKEM768 and SecP384r1MLKEM1024.

Note: The group name X25519MLKEM768 does not adhere to the naming convention outlined in Section 3.2 of [hybrid]. Specifically, the order of shares in the concatenation has been reversed. This is due to historical reasons.

3.1. Construction

3.1.1. Client share

When the X25519MLKEM768 group is negotiated, the client's key_exchange value is the concatenation of the client's ML-KEM-768 encapsulation key and the client's X25519 ephemeral share. The size of the client share is 1216 bytes (1184 bytes for the ML-KEM part and 32 bytes for X25519).

When the SecP256r1MLKEM768 group is negotiated, the client's key_exchange value is the concatenation of the secp256r1 ephemeral share and ML-KEM-768 encapsulation key. The ECDHE share is the serialized value of the uncompressed ECDH point representation as defined in Section 4.2.8.2 of [RFC8446]. The size of the client share is 1249 bytes (65 bytes for the secp256r1 part and 1184 bytes for ML-KEM).

When the SecP384r1MLKEM1024 group is negotiated, the client's key_exchange value is the concatenation of the secp384r1 ephemeral share and the ML-KEM-1024 encapsulation key. The ECDH share is serialised value of the uncompressed ECDH point represenation as defined in Section 4.2.8.2 of [RFC8446]. The size of the client share is 1665 bytes (97 bytes for the secp384r1 and the 1568 for the ML-KEM).

3.1.2. Server share

When the X25519MLKEM768 group is negotiated, the server's key exchange value is the concatenation of an ML-KEM ciphertext returned from encapsulation to the client's encapsulation key, and the server's ephemeral X25519 share. The size of the server share is 1120 bytes (1088 bytes for the ML-KEM part and 32 bytes for X25519).

When the SecP256r1MLKEM768 group is negotiated, the server's key exchange value is the concatenation of the server's ephemeral secp256r1 share encoded in the same way as the client share and an ML-KEM ciphertext returned from encapsulation to the client's encapsulation key. The size of the server share is 1153 bytes (1088 bytes for the ML-KEM part and 65 bytes for secp256r1).

When the SecP384r1MLKEM1024 group is negotiated, the server's key exchange value is the concatenation of the server's ephemeral secp384r1 share encoded in the same way as the client share and an ML-KEM ciphertext returned from encapsulation to the client's encapsulation key. The size of the server share is 1665 bytes (1568 bytes for the ML-KEM part and 97 bytes for secp384r1)

For all groups, the server MUST perform the encapsulation key check described in Section 7.2 of [FIPS203] on the client's encapsulation key, and abort with an illegal_parameter alert if it fails.

For all groups, the client MUST check if the ciphertext length matches the selected group, and abort with an illegal_parameter alert if it fails. If ML-KEM decapsulation fails for any other reason, the connection MUST be aborted with an internal_error alert.

For all groups, both client and server MUST process the ECDH part as described in Section 4.2.8.2 of [RFC8446], including all validity checks, and abort with an illegal_parameter alert if it fails.

3.1.3. Shared secret

For X25519MLKEM768, the shared secret is the concatenation of the ML-KEM shared secret and the X25519 shared secret. The shared secret is 64 bytes (32 bytes for each part).

For SecP256r1MLKEM768, the shared secret is the concatenation of the ECDHE and ML-KEM shared secret. The ECDHE shared secret is the x-coordinate of the ECDH shared secret elliptic curve point represented as an octet string as defined in Section 7.4.2 of [RFC8446]. The size of the shared secret is 64 bytes (32 bytes for each part).

For SecP384r1MLKEM1024, the shared secret is the concatenation of the ECDHE and ML-KEM shared secret. The ECDHE shared secret is the x-coordinate of the ECDH shared secret elliptic curve point represented as an octet string as defined in Section 7.4.2 of [RFC8446]. The size of the shared secret is 80 bytes (48 bytes for the ECDH part and 32 bytes for the ML-KEM part).

For all groups, both client and server MUST calculate the ECDH part of the shared secret as described in Section 7.4.2 of [RFC8446], including the shared secret check as described in Section 5.7.1.2 of [SP56A] or the all-zero shared secret check (depending on the curve), and abort the connection with an illegal_parameter alert if it fails.

4. Security Considerations

The same security considerations as those described in [hybrid] apply to the approach used by this document. The security analysis relies crucially on the TLS 1.3 message transcript, and one cannot assume a similar hybridisation is secure in other protocols.

Implementers are encouraged to use implementations resistant to side-channel attacks, especially those that can be applied by remote attackers.

5. IANA Considerations

This document requests/registers three new entries to the TLS Supported Groups registry, according to the procedures in Section 6 of [tlsiana]. These identifiers are to be used with the final, ratified by NIST, version of ML-KEM which is specified in [FIPS203].

5.1. SecP256r1MLKEM768

Value:

4587 (0x11EB)

Description:

SecP256r1MLKEM768

DTLS-OK:

Y

Recommended:

N

Reference:

This document

Comment:

Combining secp256r1 ECDH with ML-KEM-768

5.2. X25519MLKEM768

Value:

4588 (0x11EC)

Description:

X25519MLKEM768

DTLS-OK:

Y

Recommended:

N

Reference:

This document

Comment:

Combining X25519 ECDH with ML-KEM-768

5.3. SecP384r1MLKEM1024

Value:

4589 (0x11ED)

Description:

SecP384r1MLKEM1024

DTLS-OK:

Y

Recommended:

N

Reference:

This document

Comment:

Combining secp384r1 ECDH with ML-KEM-1024

5.4. Obsoleted Supported Groups

This document obsoletes 25497 and 25498 in the TLS Supported Groups registry.

6. References

6.1. Normative References

[FIPS203]
"Module-lattice-based key-encapsulation mechanism standard", National Institute of Standards and Technology (U.S.), DOI 10.6028/nist.fips.203, , <https://doi.org/10.6028/nist.fips.203>.
[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/rfc/rfc2119>.
[rfc7748]
Langley, A., Hamburg, M., and S. Turner, "Elliptic Curves for Security", RFC 7748, DOI 10.17487/RFC7748, , <https://www.rfc-editor.org/rfc/rfc7748>.
[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/rfc/rfc8174>.
[RFC8446]
Rescorla, E., "The Transport Layer Security (TLS) Protocol Version 1.3", RFC 8446, DOI 10.17487/RFC8446, , <https://www.rfc-editor.org/rfc/rfc8446>.
[SP56A]
Barker, E., Chen, L., Roginsky, A., Vassilev, A., and R. Davis, "Recommendation for pair-wise key-establishment schemes using discrete logarithm cryptography", National Institute of Standards and Technology, DOI 10.6028/nist.sp.800-56ar3, , <https://doi.org/10.6028/nist.sp.800-56ar3>.
[SP56C]
Barker, E., Chen, L., and R. Davis, "Recommendation for Key-Derivation Methods in Key-Establishment Schemes", National Institute of Standards and Technology, DOI 10.6028/nist.sp.800-56cr2, , <https://doi.org/10.6028/nist.sp.800-56cr2>.

6.2. Informative References

[DSS]
Chen, L., Moody, D., Regenscheid, A., Robinson, A., and K. Randall, "Recommendations for Discrete Logarithm-based Cryptography:: Elliptic Curve Domain Parameters", National Institute of Standards and Technology, DOI 10.6028/nist.sp.800-186, , <https://doi.org/10.6028/nist.sp.800-186>.
[ECDSA]
American National Standards Institute, "Public Key Cryptography for the Financial Services Industry: The Elliptic Curve Digital Signature Algorithm (ECDSA)", ANSI ANS X9.62-2005, .
[HKDF]
Krawczyk, H. and P. Eronen, "HMAC-based Extract-and-Expand Key Derivation Function (HKDF)", RFC Editor, DOI 10.17487/rfc5869, , <https://doi.org/10.17487/rfc5869>.
[hybrid]
Stebila, D., Fluhrer, S., and S. Gueron, "Hybrid key exchange in TLS 1.3", Work in Progress, Internet-Draft, draft-ietf-tls-hybrid-design-11, , <https://datatracker.ietf.org/doc/html/draft-ietf-tls-hybrid-design-11>.
[tlsiana]
Salowey, J. A. and S. Turner, "IANA Registry Updates for TLS and DTLS", Work in Progress, Internet-Draft, draft-ietf-tls-rfc8447bis-10, , <https://datatracker.ietf.org/doc/html/draft-ietf-tls-rfc8447bis-10>.
[xyber]
Westerbaan, B. and D. Stebila, "X25519Kyber768Draft00 hybrid post-quantum key agreement", Work in Progress, Internet-Draft, draft-tls-westerbaan-xyber768d00-03, , <https://datatracker.ietf.org/doc/html/draft-tls-westerbaan-xyber768d00-03>.

Appendix A. Change log

Authors' Addresses

Kris Kwiatkowski
PQShield
Panos Kampanakis
AWS
Bas Westerbaan
Cloudflare
Douglas Stebila
University of Waterloo