A note on the order bound on the minimum distance of AG codes and acute semigroups

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May 2008, 2(2): 175-181. doi: 10.3934/amc.2008.2.175

A note on the order bound on the minimum distance of AG codes and acute semigroups

Carlos Munuera ^1, and Fernando Torres ^2,

1.	Dept. Applied Mathematics, University of Valladolid, Avda. Salamanca SN, 47014 Valladolid, Castilla, Spain
2.	IMECC-UNICAMP, CxP. 6055, 13083-970, Campinas, SP, Brazil

Received November 2007 Revised March 2008 Published April 2008

Abstract
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We extend some results of Bras-Amorós concerning the order bound on the minimum distance of algebraic geometry codes related to acute semigroups. In particular we introduce a new family of semigroups, the so called near-acute semigroups, for which similar properties hold.

Keywords: algebraic geometry code, Weierstrass semigroups, order bound, Error-correcting code, acute semigroups..

Mathematics Subject Classification: Primary: 94B27, 94B65; Secondary: 14G15, 14G5.

Citation: Carlos Munuera, Fernando Torres. A note on the order bound on the minimum distance of AG codes and acute semigroups. Advances in Mathematics of Communications, 2008, 2 (2) : 175-181. doi: 10.3934/amc.2008.2.175

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