Security analysis of discrete logarithm based cryptosystems
Wang Yuzhu, Liao Xiaofeng
Abstract
Wang Yuzhu, Liao Xiaofeng
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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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