Pairing the volcano

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Pairing the Volcano

Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are `-isogenies. Algorithms allowing to travel on these graphs were developed by Kohel in his thesis (1996) and later on, by Fouquet and Morain (2001). However, up to now, no method was known, to predict, before taking a step on the volcano, the direction of this step. Hence, in Kohel's and Fouquet-Morain algorithms...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2012

ISSN: 0025-5718,1088-6842

DOI: 10.1090/s0025-5718-2012-02622-6