Permutation decoding of Z₂Z₄-linear codes
An alternative permutation decoding method is described which can be used for any binary systematic encoding scheme, regardless whether the code is linear or not. Thus, the method can be applied to some important codessuch as Z₂Z₄ -linear codes, which are binary and, in general, nonlinear codes in t...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:142847 |
| Acceso en línea: | https://ddd.uab.cat/record/142847 https://dx.doi.org/urn:doi:10.1007/s10623-014-9946-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Permutation decoding Z₂Z₄ -linear codes Hadamard codes |
| Sumario: | An alternative permutation decoding method is described which can be used for any binary systematic encoding scheme, regardless whether the code is linear or not. Thus, the method can be applied to some important codessuch as Z₂Z₄ -linear codes, which are binary and, in general, nonlinear codes in the usual sense. For this, it is proved that these codes allow a systematic encoding scheme. As particular examples, this permutation decoding method is applied to some Hadamard Z₂Z₄ -linear codes. |
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