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Experiments Using an Analogue of the Number Field Sieve Algorithm to Solve the Discrete Logarithm Problem in the Jacobians of Hyperelliptic Curves

Smart, Nigel


Keyword(s): discrete logarithm; hyperelliptic curves; cryptography

Abstract: In this paper we report on an implementation of the algorithm of Aldeman, De Marrais and Huang for the solution of the discrete logarithm problem on Jacobians of hyperelliptic curves. The method of Aldeman, De Marrais and Huang is closely related to the Number Field Sieve factoring method which leads us to consider a "lattice sieve" version of the original method.

11 Pages

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