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» Point Counting in Families of Hyperelliptic Curves
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FOCM
2008
76views more  FOCM 2008»
13 years 9 months ago
Point Counting in Families of Hyperelliptic Curves
Let
Hendrik Hubrechts
ASIACRYPT
2001
Springer
14 years 1 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
ANTS
2008
Springer
111views Algorithms» more  ANTS 2008»
13 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