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Codes from Jacobian surfaces
Published 26 Mar 2015 in cs.IT, math.AG, math.IT, and math.NT | (1503.07903v1)
Abstract: This paper is concerned with some Algebraic Geometry codes on Jacobians of genus 2 curves. We derive a lower bound for the minimum distance of these codes from an upper "Weil type" bound for the number of rational points on irreducible (possibly singular or non-absolutely irreducible) curves lying on an abelian surface over a finite field.
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