2006•Wuhan University Journal of Natural SciencesRequires access

Security analysis of discrete logarithm based cryptosystems

Wang Yuzhu, Liao Xiaofeng

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Abstract

Discrete logarithm based cryptosystems have subtle problems that make the schemes vulnerable. This paper gives a comprehensive listing of security issues in the systems and analyzes three classes of attacks which are based on mathematical structure of the group which is used in the schemes, the disclosed information of the subgroup and implementation details respectively. The analysis will, in turn, allow us to motivate protocol design and implementation decisions.

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What this paper is about

Discrete logarithm based cryptosystems have subtle problems that make the schemes vulnerable. This paper gives a comprehensive listing of security issues in the systems and analyzes three classes of attacks which are based on mathematical structure of the group which is used in the schemes, the disclosed information of the subgroup and implementation details respectively. The analysis will, in turn, allow us to motivate protocol design and implementation decisions.

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Available abstract

Discrete logarithm based cryptosystems have subtle problems that make the schemes vulnerable. This paper gives a comprehensive listing of security issues in the systems and analyzes three classes of attacks which are based on mathematical structure of the group which is used in the schemes, the disclosed information of the subgroup and implementation details respectively. The analysis will, in turn, allow us to motivate protocol design and implementation decisions.

Key concepts: Discrete logarithm, Cryptosystem, Logarithm, Listing (finance), Computer science, Cryptography, Security analysis, Theoretical computer science

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