CODES FROM JACOBIAN SURFACES

Safia Haloui (1)

1 DTU - Danmarks Tekniske Universitet = Technical University of Denmark

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.

Domaines: Théorie de l'information et codage [math.IT]; Géométrie algébrique [math.AG]; Théorie des nombres [math.NT]

Safia Haloui. CODES FROM JACOBIAN SURFACES. 2015. ⟨hal-01136115⟩