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Isomorphisms between Artin-Schreier towers
Authors:Jean-Marc Couveignes
Institution:Groupe de Recherche en Mathématiques et Informatique du Mirail, Université de Toulouse II, Le Mirail, France
Abstract:

We give a method for efficiently computing isomorphisms between towers of Artin-Schreier extensions over a finite field. We find that isomorphisms between towers of degree $p^n$ over a fixed field $\mathbb{F}_q$ can be computed, composed, and inverted in time essentially linear in $p^n$. The method relies on an approximation process.

Keywords:
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