Catálogo de publicaciones - revistas
ACM Communications in Computer Algebra
Resumen/Descripción – provisto por la editorial
No disponible.
Palabras clave – provistas por la editorial
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Disponibilidad
| Institución detectada | Período | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No detectada | desde ene. 1967 / hasta dic. 2023 | ACM Digital Library |
Información
Tipo de recurso:
revistas
ISSN electrónico
1932-2240
Editor responsable
Association for Computing Machinery (ACM)
País de edición
Estados Unidos
Cobertura temática
Tabla de contenidos
Computing generalized hamming weights of binary linear codes via free resolutions
Ignacio García-Marco; Irene Márquez-Corbella; Edgar Martínez-Moro; Yuriko Pitones
<jats:p>In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a structure smaller than the set of codewords of minimal support that provides us some information about the GHWs. We prove that the first and second generalized Hamming weight of a binary linear code can be computed (by means of a graded free resolution) from a set of monomials associated to a binomial ideal related with the code. Moreover, the remaining weights are bounded by the Betti numbers for that set.</jats:p>
Palabras clave: General Medicine.
Pp. 19-24