7 search results - page 1 / 2 » On the Discrete Logarithm Problem on Algebraic Tori |
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 ...
PKC
2000
Springer
13 years 8 months ago
2000
Springer
A number of signature schemes and standards have been recently designed, based on the Discrete Logarithm problem. In this paper we conduct design validation of such schemes while t...
ACNS
2005
Springer
13 years 10 months ago
2005
Springer
Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established prot...
ASIACRYPT
2007
Springer
13 years 11 months ago
2007
Springer
The black-box field (BBF) extraction problem is, for a given field F, to determine a secret field element hidden in a black-box which allows to add and multiply values in F in ...