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The Discrete Logarithm Problem

1993
There are many public-key cryptosystems whose security lies in the presumed intractability of the discrete logarithm problem in some group G. The discrete logarithm problem has received a great deal of attention in recent years, and numerous algorithms which use a variety of techniques have been devised.
Ian F. Blake   +4 more
openaire   +2 more sources

Arithmetic Circuits for Discrete Logarithms

2004
We introduce a new model of “generic discrete log algorithms” based on arithmetic circuits. It is conceptually simpler than previous ones, is actually applicable to the natural representations of the popular groups, and we can derive upper and lower bounds that differ only by a constant factor, namely 10.
openaire   +1 more source

Discrete Logarithm Problems with Auxiliary Inputs

Journal of Cryptology, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

An alternative practical public-key cryptosystems based on the Dependent RSA Discrete Logarithm Problems

Expert Systems With Applications, 2021
Bhupendra Gupta, K K Soundra Pandian
exaly  

Recent progress on the elliptic curve discrete logarithm problem

Designs, Codes, and Cryptography, 2015
Steven D Galbraith   +2 more
exaly  

The discrete logarithm problem in the group of non-singular circulant matrices

Groups, Complexity, Cryptology, 2010
AYAN Mahalanobis
exaly  

Constructing identity-based cryptosystems for discrete logarithm based cryptosystems

Journal of Network and Computer Applications, 2004
Wei-Bin Lee
exaly  

Discrete logarithm based additively homomorphic encryption and secure data aggregation

Information Sciences, 2011
Licheng Wang, Yun Pan, Zonghua Zhang
exaly  

Solving discrete logarithm problems faster with the aid of pre-computation

Discrete Applied Mathematics, 2019
Jin Hong, Hyeonmi Lee
exaly  

A discrete logarithm problem over composite modulus

Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English Translation of Denshi Tsushin Gakkai Ronbunshi), 1993
Yasuyuki Murakami, Masao Kasahara
exaly  

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