Elliptic Curves for Security

Metadata

Publisher: IETF
Doc Type: Informational
Pages: 22
Abstract: This memo specifies two elliptic curves over prime fields that offer a high level of practical security in cryptographic applications, including Transport Layer Security (TLS). These curves are intended to operate at the ~128-bit and ~224-bit security level, respectively, and are generated deterministically based on a list of required properties.
Publication Date: 2016-01-01
Status Note: Informational
DOI: 10.17487/RFC7748
Link: https://doi.org/10.17487/RFC7748
Author(s): Adam Langley
Mike Hamburg
Sean Turner
Keyword(s): Elliptic Curve Cryptography, ECC

Latest version of IETF RFC 7748

Document Versions — IETF RFC 7748

▶ IETF RFC 7748 (2016-01-01)

THIS DOC [ACTIVE] [LATEST VERSION]

Normative Reference(s)

IETF RFC 2119 [Active*]

Bibliographic Reference(s)

10.1007-978-3-642-23951-9_9 — ed25519 EXTERNAL
10.1109-18.259647 — reducing EXTERNAL
Bernstein, D. and T. Lange, "SafeCurves: choosing safe curves for elliptic-curve cryptography", Oct 2013, < http://safecurves.cr.yp.to/ >. EXTERNAL
ECC Brainpool, "ECC Brainpool Standard Curves and Curve Generation", October 2005, < http://www.ecc-brainpool.org/download/ Domain-parameters.pdf >. EXTERNAL
Satoh, T. and K. Araki, "Fermat quotients and the polynomial time discrete log algorithm for anomalous elliptic curves", 1998. EXTERNAL
Montgomery, P., "Speeding the Pollard and Elliptic Curve Methods of Factorization", January 1987, < http://www.ams.org/journals/mcom/1987-48-177/ S0025-5718-1987-0866113-7/S0025-5718-1987-0866113-7.pdf >. EXTERNAL
Bernstein, D., "Understanding brute force", April 2005, < http://cr.yp.to/snuffle/bruteforce-20050425.pdf >. EXTERNAL
Semaev, I., "Evaluation of discrete logarithms on some elliptic curves", 1998, < http://www.ams.org/journals/ mcom/1998-67-221/S0025-5718-98-00887-4/ S0025-5718-98-00887-4.pdf >. EXTERNAL
National Institute of Standards, "Recommended Elliptic Curves for Federal Government Use", July 1999, < http://csrc.nist.gov/groups/ST/toolkit/documents/dss/ NISTReCur.pdf >. EXTERNAL
Bernstein, D., "Curve25519: new Diffie-Hellman speed records", 2006, < http://www.iacr.org/cryptodb/archive/2006/ PKC/3351/3351.pdf >. EXTERNAL
Smart, N., "The Discrete Logarithm Problem on Elliptic Curves of Trace One", 1999, < http://www.hpl.hp.com/techreports/97/HPL-97-128.pdf >. EXTERNAL
Hamburg, M., "Ed448-Goldilocks, a new elliptic curve", 2015, < http://eprint.iacr.org/2015/625.pdf >. EXTERNAL
IETF RFC 6090 [Active*]
SECG.SEC1.v2.2009-05 — SEC1 EXTERNAL

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Referenced By

IETF draft-ietf-emu-aka-pfs-05 [Active*]
IETF RFC 7925 [Active*]
IETF RFC 8032 [Active*]
IETF RFC 8152 [Superseded*]
IETF RFC 8422 [Superseded*]
IETF RFC 8446 [Superseded*]
IETF RFC 9231 [Active*]
IETF RFC 9678 [Active*]