100 search results - page 1 / 20 » Arithmetic on superelliptic curves |
MOC
2002
13 years 5 months ago
2002
MICS
2010
13 years 4 months ago
2010
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...
AAECC
2005
Springer
13 years 5 months ago
2005
Springer
In this paper we determine the number of isomorphism classes of Picard curves, i.e., superelliptic curves y3 = f(x) of genus three, over finite fields of characteristic different f...
ASIACRYPT
2001
Springer
13 years 10 months ago
2001
Springer
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...
JSC
2011
12 years 8 months ago
2011
We scan a large class of one-parameter families of elliptic curves for efficient arithmetic. The construction of the class is inspired by toric geometry, which provides a natural ...