Generalized Hadamard full propelinear codes
Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized Hadamard full propelinear codes turns out. We prove that their existence is equiva...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/114931 |
| Acceso en línea: | https://hdl.handle.net/11441/114931 https://doi.org/10.1007/s10623-020-00827-7 |
| Access Level: | acceso abierto |
| Palabra clave: | Cocycles generalized Hadamard matrices difference sets propelinear codes rank kernel |
| Sumario: | Codes from generalized Hadamard matrices have already been introduced. Here we deal with these codes when the generalized Hadamard matrices are cocyclic. As a consequence, a new class of codes that we call generalized Hadamard full propelinear codes turns out. We prove that their existence is equivalent to the existence of central relative (v,w, v, v/w)-difference sets. Moreover, some structural properties of these codes are studied and examples are provided. |
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