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Speeding up the discrete log computation on curves with automorphisms

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1999) 1716 103-121
DOI: 10.1007/978-3-540-48000-6_10
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Abstract

We show how to speed up the discrete log computations on curves having automorphisms of large order, thus generalizing the attacks on anomalous binary elliptic curves. This includes the first known attack on most of the hyperelliptic curves described in the literature.

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Duursma, I., Gaudry, P., & Morain, F. (1999). Speeding up the discrete log computation on curves with automorphisms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1716, pp. 103–121). Springer Verlag. https://doi.org/10.1007/978-3-540-48000-6_10

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