Sciweavers

125 search results - page 2 / 25
» On the Performance of Hyperelliptic Cryptosystems
Sort
View
ASIACRYPT
2000
Springer
13 years 9 months ago
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
Abstract. Construction of secure hyperelliptic curves is of most important yet most difficult problem in design of cryptosystems based on the discrete logarithm problems on hyperel...
Jinhui Chao, Kazuto Matsuo, Hiroto Kawashiro, Shig...
SACRYPT
2005
Springer
13 years 10 months ago
SPA Resistant Left-to-Right Integer Recodings
We present two left-to-right integer recodings which can be used to perform scalar multiplication with a fixed sequence of operations. These recodings make it possible to have a s...
Nicolas Thériault
ITCC
2005
IEEE
13 years 11 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
EUROCRYPT
2000
Springer
13 years 9 months ago
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
Pierrick Gaudry
ACISP
2005
Springer
13 years 10 months ago
A Complete Divisor Class Halving Algorithm for Hyperelliptic Curve Cryptosystems of Genus Two
We deal with a divisor class halving algorithm on hyperelliptic curve cryptosystems (HECC), which can be used for scalar multiplication, instead of a doubling algorithm. It is not ...
Izuru Kitamura, Masanobu Katagi, Tsuyoshi Takagi