Abstract

OLAYA LEON, Wilson  and  GRANADOS PINZON, Claudia. On the Minimum Distance of One-Point Castle AG Codes. ing.cienc. [online]. 2012, vol.8, n.16, pp.239-255. ISSN 1794-9165.

We present a characterization of the lower bound d* for minimum distance of algebraic geometry one-point codes coming from castle curves. This article shows explicit calculations of this bound in the case of a Weierstrass semigroup generated by two consecutive elements. In particular, we obtain a simple characterization of the exact value of the minimum distance Hermitian codes.

Keywords : Error-correcting codes; AG codes; minimum distance; Hermitian codes.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )