An efficient zero-knowledge scheme for the discrete logarithm based on smooth numbers

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Abstract

We present an interactive zero-knowledge proof for the discrete logarithm problem which is based on smooth numbers. The main feature of our proof is its communication complexity (number of messages exchanged, number of bits communicated) which is less than that of competing schemes.

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Desmedt, Y., & Burmester, M. (1993). An efficient zero-knowledge scheme for the discrete logarithm based on smooth numbers. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 739 LNCS, pp. 352–359). Springer Verlag. https://doi.org/10.1007/3-540-57332-1_31

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