Hamming and Reed-Solomon codes over certain rings

Andrade, A. A.; Palazzo, R.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/33690

Title:

Hamming and Reed-Solomon codes over certain rings

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

1807-0302

Sponsorship:

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

Sponsorship Process Number:

FAPESP: 95/4720-8

Abstract:

In this work we present extensions of constructions of Hamming and Reed-Solomon codes over local finite commutative rings with identity obtained from algebraic integer rings of a number field. Also, we present efficient decoding procedures for these codes. The decoding procedure of Reed-Solomon codes is based on the modified Berlekamp-Massey algorithm.

Issue Date:

1-Jan-2001

Citation:

Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 20, n. 3, p. 289-306, 2001.

Time Duration:

289-306

Publisher:

Springer

Keywords:

Hamming code
Reed-Solomon code
modified Berlekamp-Massey algorithm
syndrome calculation
error-location number
Forney's method

Source:

http://books.google.com.br/books?id=HkcEzM3QN9IC&lpg=PA265&hl=pt-BR&pg=PA265#v=onepage&q&f=false

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/33690

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