| Journal: | Computational & applied mathematics |
| Database: | PERIÓDICA |
| System number: | 000310641 |
| ISSN: | 0101-8205 |
| Authors: | Andrade, A.A1 Interlando, J.C Palazzo-Junior, R2 |
| Institutions: | 1Universidade Estadual Paulista "Julio de Mesquita Filho", Instituto de Biociencias, Letras e Ciencias Exatas, Sao Jose do Rio Preto, Sao Paulo. Brasil 2Universidade Estadual de Campinas, Departamento de Telematica, Campinas, Sao Paulo. Brasil |
| Year: | 2003 |
| Volumen: | 22 |
| Number: | 2 |
| Pages: | 233-247 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, analítico |
| English 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 Zm under Lee metric |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Anillos conmutativos finitos, Código BCH, Anillo de Galois, Decodificación algebraica, Métrica de Lee |
| Keyword: | Mathematics, Pure mathematics, Finite commutative rings, Alternant codes, BCH codes, Galois ring, Algebraic decoding, Lee metrics |
| Full text: | Texto completo (Ver HTML) |
