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85
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ASIACRYPT
2001
Springer
15 years 2 months ago
An Extension of Kedlaya's Point-Counting Algorithm to Superelliptic Curves
We present an algorithm for counting points on superelliptic curves yr = f(x) over a finite field Fq of small characteristic different from r. This is an extension of an algorit...
Pierrick Gaudry, Nicolas Gürel
MICS
2010
102views more  MICS 2010»
14 years 8 months ago
Computing Zeta Functions of Superelliptic Curves in Larger Characteristic
Abstract. Following Gaudry and G¨urel who extended Kedlaya’s point-counting algorithm to superelliptic curves, we introduce Harvey’s running time improvements for large enough...
Moritz Minzlaff
78
Voted
ANTS
2008
Springer
111views Algorithms» more  ANTS 2008»
14 years 11 months ago
Computing L-Series of Hyperelliptic Curves
We discuss the computation of coefficients of the L-series associated to a hyperelliptic curve over Q of genus at most 3, using point counting, generic group algorithms, and p-adic...
Kiran S. Kedlaya, Andrew V. Sutherland
JOC
2006
103views more  JOC 2006»
14 years 9 months ago
An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2
We present an algorithm to compute the zeta function of an arbitrary hyperelliptic curve over a finite field Fq of characteristic 2, thereby extending the algorithm of Kedlaya for ...
Jan Denef, Frederik Vercauteren