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• W61549430 abstract "In this paper we propose a binary field variant of the Joux-Lercier medium-sized Function Field Sieve, which results not only in complexities as low as $L_{q^n}(1/3,(4/9)^{1/3})$ 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 21971 and 23164 elements, setting a record for binary fields." @default.
• W61549430 created "2016-06-24" @default.
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• W61549430 date "2013-01-01" @default.
• W61549430 modified "2023-10-01" @default.
• W61549430 title "On the Function Field Sieve and the Impact of Higher Splitting Probabilities" @default.
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• W61549430 doi "https://doi.org/10.1007/978-3-642-40084-1_7" @default.
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