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

Published

February 2, 2023

Author(s)

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

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. The 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).

Citation

Special Publication (NIST SP) - 800-186

Report Number

800-186

NIST Pub Series

Special Publication (NIST SP)

Pub Type

NIST Pubs

Download Paper

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

Local Download

Keywords

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

Citation

Chen, L. , Moody, D. , Randall, K. , Regenscheid, A. and Robinson, A. (2023), Recommendations for Discrete Logarithm-based Cryptography: Elliptic Curve Domain Parameters, Special Publication (NIST SP), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/NIST.SP.800-186, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=935198 (Accessed April 26, 2024)