International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Renate Scheidler

Affiliation: University of Calgary

Publications

Year
Venue
Title
2010
EPRINT
Cryptographic Aspects of Real Hyperelliptic Curves
M. J. Jacobson R. Scheidler A. Stein
In this paper, we give an overview of cryptographic applications using real hyperelliptic curves. We review previously proposed cryptographic protocols, and discuss the infrastructure of a real hyperelliptic curve, the mathematical structure underlying all these protocols. We then describe recent improvements to infrastructure arithmetic, including explicit formulas for divisor arithmetic in genus 2; and advances in solving the infrastructure discrete logarithm problem, whose presumed intractability is the basis of security for the related cryptographic protocols.
2006
JOFC
1998
JOFC
1994
JOFC
1990
EUROCRYPT