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



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


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).
Special Publication (NIST SP) - 800-186
Report Number


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


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],, (Accessed May 21, 2024)


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Created February 2, 2023, Updated February 27, 2023