6533b7dafe1ef96bd126ec0f

RESEARCH PRODUCT

Goppa codes over Edwards curves

Giuseppe Filippone

subject

Discrete mathematicsMathematics - Algebraic GeometryEdwards curveFOS: Mathematics94B27 94B05 11T71Algebraic Geometry (math.AG)

description

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.

yearjournalcountryeditionlanguage
2023-01-23
http://arxiv.org/abs/2301.09309