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Elliptic Curve Cryptography ECC


Elliptic curve cryptography is critical to the adoption of strong cryptography as we migrate to higher security strengths. NIST has standardized elliptic curve cryptography for digital signature algorithms in FIPS 186 and for key establishment schemes in SP 800-56A

In FIPS 186-4, NIST recommends fifteen elliptic curves of varying security levels for use in these elliptic curve cryptographic standards. However, more than fifteen years have passed since these curves were first developed, and the community now knows more about the security of elliptic curve cryptography and practical implementation issues. Advances within the cryptographic community have led to the development of new elliptic curves and algorithms whose designers claim to offer better performance and are easier to implement in a secure manner. Some of these curves are under consideration in voluntary, consensus-based Standards Developing Organizations.

In 2015, NIST hosted a Workshop on Elliptic Curve Cryptography Standards to discuss possible approaches to promote the adoption of secure, interoperable and efficient elliptic curve mechanisms. Workshop participants expressed significant interest in the development, standardization and adoption of new elliptic curves.  In 2015, NIST solicited comments on possible improvements to FIPS 186-4.  In particular, comments were requested on the possibility of adding new elliptic curves to the current recommended set, as well as on digital signature schemes.  Throughout 2016, NIST began resolving the comments received and revising FIPS 186-4. 

February 3, 2023

NIST published Federal Information Processing Standard (FIPS) 186-5, Digital Signature Standard (DSS), along with NIST Special Publication (SP) 800-186, Recommendations for Discrete Logarithm-based Cryptography: Elliptic Curve Domain Parameters.  

Please see the CSRC News item for full details.  A Federal Register Notice (FRN) was also issued announcing the issuance of FIPS 186-5, Digital Signature Standard.  


Dr. Lily Chen

Dr. Dustin Moody


Security and Privacy: digital signatures, key management

Created January 12, 2017, Updated February 06, 2023