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math.NT2018
Counting points on hyperelliptic curves with explicit real multiplication in arbitrary genus
Simon Abelard
We present a probabilistic Las Vegas algorithm for computing the local zeta function of a genus- hyperelliptic curve defined over with explicit real multiplication…
math.NT2018★ 4 cited
Counting points on genus-3 hyperelliptic curves with explicit real multiplication
Simon Abelard, Pierrick Gaudry, Pierre-Jean Spaenlehauer
We propose a Las Vegas probabilistic algorithm to compute the zeta function of a genus-3 hyperelliptic curve defined over a finite field , with explicit real multiplic…