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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

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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