6 search results - page 1 / 2 » A Comparison of CEILIDH and XTR |
ANTS
2004
Springer
13 years 8 months ago
2004
Springer
We give a comparison of the performance of the recently proposed torus-based public key cryptosystem CEILIDH, and XTR. Underpinning both systems is the mathematics of the two dimen...
CRYPTO
2003
Springer
13 years 9 months ago
2003
Springer
We introduce the concept of torus-based cryptography, give a new public key system called CEILIDH, and compare it to other discrete log based systems including Lucas-based systems ...
SIAMCOMP
2008
13 years 4 months ago
2008
Abstract. We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression algorithms to construct efficient public key c...
CRYPTO
2005
Springer
13 years 10 months ago
2005
Springer
Abstract. Using a recent idea of Gaudry and exploiting rational representations of algebraic tori, we present an index calculus type algorithm for solving the discrete logarithm pr...
ANTS
2006
Springer
13 years 8 months ago
2006
Springer
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came from the observation that ...