American Institute of Mathematical Sciences

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November  2009, 3(4): 399-408. doi: 10.3934/amc.2009.3.399

Castle curves and codes

Carlos Munuera 1, , Alonso Sepúlveda 2, and  Fernando Torres 3,

1. 

Department of Applied Mathematics, University of Valladolid, Avda Salamanca SN, 47014 Valladolid, Castilla, Spain
2. 

Faculdade de Matemática, Universidade Federal de Uberlândia, Av. J.N. de Ávila 2160, Uberlândia, 38408-100, MG-Brazil
3. 

Institute of Mathematics, Statistics and Computer Science, P.O. Box 6065, University of Campinas, 13083-970, Campinas, SP, Brazil

Received  July 2009 Revised  October 2009 Published  November 2009

We introduce two types of curves of interest for coding theory purposes: the so-called Castle and weak Castle curves. We study the main properties of codes arising from these curves.
Keywords: algebraic curves., Linear codes, Weierstrass semigroups, one-point algebraic geometry codes.
Mathematics Subject Classification: Primary:94B27; Secondary: 14G50, 14H5.
Citation: Carlos Munuera, Alonso Sepúlveda, Fernando Torres. Castle curves and codes. Advances in Mathematics of Communications, 2009, 3 (4) : 399-408. doi: 10.3934/amc.2009.3.399
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