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» Point Counting in Families of Hyperelliptic Curves
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FOCM
2008
76views more  FOCM 2008»
13 years 5 months ago
Point Counting in Families of Hyperelliptic Curves
Let
Hendrik Hubrechts
ASIACRYPT
2001
Springer
13 years 9 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 7 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