Número:
16
Ano:
2006
Autor:
C. Carvalho
Carlos Munuera
E. Silva
Fernando Torres
Abstract:
H\o holdt, van Lint and Pellikaan used order functions to construct codes by means of Linear Algebra and Semigroup Theory only. However, Geometric Goppa codes that can be represented by this method are mainly those based on just one point. In this paper we introduce the concept of near order function with the aim of generalize this approach in such a way that a of wider family of Geometric Goppa codes can be studied on a more elementary setting.
Keywords:
Error-correcting codes
algebraic geometric Goppa codes
Weierstrass semigroups
order function
Mathematics Subject Classification 2000 (MSC 2000):
94B27; 14G50
Observação:
submitted 04/06
Arquivo:
