International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Bertrand BYRAMJEE

Affiliation: Oberthur Card Systems

Publications

Year
Venue
Title
2004
EPRINT
Classification of genus 2 curves over $\mathbb{F}_{2^n}$ and optimization of their arithmetic
Bertrand BYRAMJEE Sylvain DUQUESNE
To obtain efficient cryptosystems based on hyperelliptic curves, we studied genus 2 isomorphism classes of hyperelliptic curves in characteristic 2. We found general and optimal form for these curves, just as the short Weierstrass form for elliptic curves. We studied the security and the arithmetic on their jacobian. We also rewrote and optimized the formulas of Lange in characteristic 2, and we introduced a new system of coordinate. Therefore, we deduced the best form of hyperelliptic curves of genus 2 in characteristic 2 to use in cryptography.

Coauthors

Sylvain DUQUESNE (1)