Alternant and BCH codes over certain rings
| dc.contributor.author | Andrade, A. A. [UNESP] | |
| dc.contributor.author | Interlando, J. C. [UNESP] | |
| dc.contributor.author | Palazzo, R. | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
| dc.contributor.institution | Universidade Estadual de Campinas (UNICAMP) | |
| dc.date.accessioned | 2020-12-10T18:02:22Z | |
| dc.date.available | 2020-12-10T18:02:22Z | |
| dc.date.issued | 2003-01-01 | |
| dc.description.abstract | Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x(s) - 1 over the unit group of an appropriate extension of the finite ring. An efficient decoding procedure which makes use of the modified Berlekamp-Massey algorithm to correct errors and erasures is presented. Furthermore, we address the construction of BCH codes over Z(m) under Lee metric. | en |
| dc.description.affiliation | UNESP, Dept Math, Ibilce, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.description.affiliation | Univ Estadual Campinas, Dept Telemat, Feec, BR-13081970 Campinas, SP, Brazil | |
| dc.description.affiliationUnesp | UNESP, Dept Math, Ibilce, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil | |
| dc.format.extent | 233-247 | |
| dc.identifier.citation | Computational & Applied Mathematics. Heidelberg: Springer Heidelberg, v. 22, n. 2, p. 233-247, 2003. | |
| dc.identifier.issn | 2238-3603 | |
| dc.identifier.uri | http://hdl.handle.net/11449/195753 | |
| dc.identifier.wos | WOS:000208134800005 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Computational & Applied Mathematics | |
| dc.source | Web of Science | |
| dc.subject | codes over rings | |
| dc.subject | alternant codes | |
| dc.subject | BCH codes | |
| dc.subject | Galois extensions of local commutative rings | |
| dc.subject | algebraic decoding | |
| dc.subject | modified Berlekamp-Massey algorithm | |
| dc.subject | errors and erasures decoding | |
| dc.subject | Lee metric | |
| dc.title | Alternant and BCH codes over certain rings | en |
| dc.type | Artigo | |
| dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
| dcterms.rightsHolder | Springer | |
| dspace.entity.type | Publication | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |