Paper 2013/647

A note on high-security general-purpose elliptic curves

Diego F. Aranha and Paulo S. L. M. Barreto and Geovandro C. C. F. Pereira and Jefferson E. Ricardini

Abstract

In this note we describe some general-purpose, high-efficiency elliptic curves tailored for security levels beyond $2^{128}$. For completeness, we also include legacy-level curves at standard security levels. The choice of curves was made to facilitate state-of-the-art implementation techniques.

Note: Added acknowledgements and fixed typos and broken links.