Encoding through generalized polynomial codes


Autoria(s): Shah, T.; Khan, A.; Andrade, A. A.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

31/08/2011

Resumo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Processo FAPESP: 07/56052-8

This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This makes it possible to improve several recent results due to Andrade and Palazzo [1]. © 2011 SBMAC.

Formato

349-366

Identificador

http://dx.doi.org/10.1590/S1807-03022011000200006

Computational and Applied Mathematics, v. 30, n. 2, p. 349-366, 2011.

0101-8205

1807-0302

http://hdl.handle.net/11449/72619

10.1590/S1807-03022011000200006

S1807-03022011000200006

WOS:000293652300006

2-s2.0-80051788111

2-s2.0-80051788111.pdf

Idioma(s)

eng

Relação

Computational and Applied Mathematics

Direitos

openAccess

Palavras-Chave #Alternant code #BCH code #Cyclic code #Goppa code #Semigroup ring #Srivastava code
Tipo

info:eu-repo/semantics/article