Recommendations for Discrete Logarithm-based Cryptography: Elliptic Curve Domain Parameters

Chen, Lily; Moody, Dustin; Regenscheid, Andrew; Robinson, Angela; Randall, Karen

doi:https://doi.org/10.6028/NIST.SP.800-186

SP 800-186

Recommendations for Discrete Logarithm-based Cryptography: Elliptic Curve Domain Parameters

Documentation Topics

Date Published: February 2023

Author(s)

Lily Chen (NIST), Dustin Moody (NIST), Andrew Regenscheid (NIST), Angela Robinson (NIST), Karen Randall (Randall Consulting)

Abstract

This Recommendation specifies the set of elliptic curves recommended for U.S. Government use. In addition to the previously recommended Weierstrass curves defined over prime fields and binary fields, this Recommendation includes two newly specified Edwards curves, which provide increased performance, side-channel resistance, and simpler implementation when compared to traditional curves. This Recommendation also specifies alternative representations for these new curves to allow more implementation flexibility. The new curves are interoperable with those specified by the Crypto Forum Research Group (CFRG) of the Internet Engineering Task Force (IETF).

Keywords

computer security; discrete logarithm-based groups; domain parameters; elliptic curve cryptography

Control Families

System and Communications Protection

Documentation

Publication:
SP 800-186 (DOI)
Local Download

Supplemental Material:
Comments received on Draft SP 800-186 (pdf)

Related NIST Publications:
FIPS 186-5

Document History:
10/31/19: SP 800-186 (Draft)
02/03/23: SP 800-186 (Final)

Topics

Security and Privacy
digital signatures