Goppa codes over Edwards curves

2023/01/23 by Filippone, Giuseppe
#11T71 #94B05 #94B27 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.09309

Abstract

Given an Edwards curve, we determine a basis for the Riemann-Roch space of any divisor whose support does not contain any of the two singular points. This basis allows us to compute a generating matrix for an algebraic-geometric Goppa code over the Edwards curve.

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