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• W2396642682 abstract "In this paper we propose a binary field variant of the JouxLercier medium-sized Function Field Sieve, which results not only in complexities as low as Lqn(1/3, (4/9) ) for computing arbitrary logarithms, but also in an heuristic polynomial time algorithm for finding the discrete logarithms of degree one and two elements when the field has a subfield of an appropriate size. To illustrate the efficiency of the method, we have successfully solved the DLP in the finite fields with 2 and 2 elements, setting a record for binary fields." @default.
• W2396642682 created "2016-06-24" @default.
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• W2396642682 date "2013-01-01" @default.
• W2396642682 modified "2023-09-26" @default.
• W2396642682 title "On the Function Field Sieve and the Impact of Higher Splitting Probabilities: Application to Discrete Logarithms in F 2 1971 ." @default.
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