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2009
Springer

Fast arithmetics in artin-schreier towers over finite fields

9 years 23 days ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give algorithms with quasi-linear time complexity for arithmetic operations in such towers. As an application, we present an implementation of Couveignes’ algorithm for computing isogenies between elliptic curves using the p-torsion. Categories and Subject Descriptors:
Luca De Feo, Éric Schost
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Where ISSAC
Authors Luca De Feo, Éric Schost
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