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Title:
Computing Discrete Logarithms in F_{3^{6137}} and F_{3^{6163}} using Magma
Authors: Gora Adj, Alfred Menezes, Thomaz Oliveira, Francisco Rodríguez-Henríquez
Abstract:We show that a Magma implementation of Joux’s L[1/4+o(1)] algorithm can be used to compute discrete logarithms in the 1303-bit finite field F_{3^{6137}} and the 1551-bit finite field F_{3^{6163}} with very modest computational resources. Our F_{3^{6*137}} implementation was the first to illustrate the effectiveness of Joux’s algorithm for computing discrete logarithms in small-characteristic finite fields that are not Kummer or twisted-Kummer extensions.
ePrint: https://eprint.iacr.org/2014/057
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