Title :
On the parameters of algebraic-geometry codes related to Arf semigroups
Author :
Campillo, Antonio ; Farrán, José Ignacio ; Munuera, Carlos
Author_Institution :
Dept. de Algebra y Geometria, Valladolid Univ., Spain
fDate :
11/1/2000 12:00:00 AM
Abstract :
We compute the order (or Feng-Rao (1994)) bound on the minimum distance of one-point algebraic-geometry codes CΩ(P, ρtQ), when the Weierstrass semigroup at the point Q is an Arf 91949) semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to these C Ω (P, ρtQ)
Keywords :
Goppa codes; algebraic geometric codes; group theory; Arf semigroups; Feng-Rao bound; Weierstrass semigroup; code dimension; code parameters; improved geometric Goppa codes; minimum distance; one-point algebraic-geometry codes; order bound; Algebra; Cost accounting; Galois fields; Geometry; Linear code; Parity check codes;
Journal_Title :
Information Theory, IEEE Transactions on
