About some Hadamard full propelinear (2t,2,2)-codes
A new subclass of Hadamard full propelinear codes is introduced in this article. We define the HFP(2t,2,2)-codes as codes with a group structure isomorphic to C₂t × C₂^2. Concepts such as rank and dimension of the kernel are studied, and bounds for them are established. For t odd, r=4t-1 and k=1. Fo...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:165795 |
| Acceso en línea: | https://ddd.uab.cat/record/165795 https://dx.doi.org/urn:doi:10.1016/j.endm.2016.09.055 |
| Access Level: | acceso abierto |
| Palabra clave: | Hadamard codes Dimension of the kernel Full propelinear codes Rank |
| Sumario: | A new subclass of Hadamard full propelinear codes is introduced in this article. We define the HFP(2t,2,2)-codes as codes with a group structure isomorphic to C₂t × C₂^2. Concepts such as rank and dimension of the kernel are studied, and bounds for them are established. For t odd, r=4t-1 and k=1. For t even, r≤2t and k≠2, and r=2t if and only if t≢0 (mod 4). |
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