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Character sums determined by low degree isogenies of elliptic curves

Published

Author(s)

Dustin Moody, Christopher Rasmussen

Abstract

We look at certain character sums determined by isogenies on elliptic curves over finite fields. We prove a congruence condition for character sums attached to arbitrary cyclic isogenies, and produce explicit formulas for isogenies of degree m
Citation
Rocky Mountain Journal of Mathematics

Keywords

Elliptic curves, Isogenies, Character sums
Created July 25, 2013, Updated February 19, 2017