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.
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