A jq255 Elliptic Curve Specification, and a Retrospective

First things first: there is now a specification for the jq255e and jq255s elliptic curves; it is published on the C2SP initiative and is formally in (draft) version 0.0.1: https://github.com/C2SP/C2SP/blob/main/jq255.md The jq255e and jq255s groups are prime-order groups appropriate for building cryptographic protocols, and based on elliptic curves. These curves are from the large class … Continue reading A jq255 Elliptic Curve Specification, and a Retrospective

Double-odd Elliptic Curves

This post is about some new (or sort of new) elliptic curves for use in cryptographic protocols. They were made public in mid-December 2020, on a dedicated Web site: https://doubleodd.group/There is also a complete whitepaper, full of mathematical demonstrations, and several implementations. Oh noes, more curves! Will this never end? It is true that there … Continue reading Double-odd Elliptic Curves