ACAC Seminar Abstract

ACAC Seminar Abstract

ACAC Seminars

ACAC Seminar Abstract

Hardware Implementation of the Eta Pairing in Characteristic 2 and 3

Speaker: Nicolas Brisebarre (joint work with J.-L. Beuchat, J. Detrey, E. Okamoto, M. Shirase and T. Takagi)
Date, Time: Fri, 29 Feb 2008 11:00

Pairings were first introduced in cryptology by Menezes, Okamoto & Vanstone and Frey & Rueck for code-breaking purposes. Mitsunari, Sakai & Kasahara and Sakai, Oghishi & Kasahara seem to be the first to have discovered their constructive properties. Since the foundational work of Joux in 2000, an already large and ever increasing number of pairing-based protocols has been found. The software implementations of these successive algorithmic improvements being rather slow, the need for fine hardware implementations is strong. This is a critical issue to make pairings popular and of common use in cryptography and in particular in view of a successful industrial transfer. We will start this talk by a reminder on pairings, and then present recent works that address the problem of getting efficient hardware implementation of the eta and Tate pairings on elliptic curves in characteristic 2 and 3.

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