Artículo
Generalized Hadamard full propelinear codes
Autor/es | Armario Sampalo, José Andrés
Bailera, Iván Egan, Ronan |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2021 |
Fecha de depósito | 2021-06-29 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | Junta de Andalucía Ministerio de Ciencia, Innovación y Universidades (MICINN). España |
Identificador del proyecto | FQM-016
TIN2016-77918-P |
Cita | Armario Sampalo, J.A., Bailera, I. y Egan, R. (2021). Generalized Hadamard full propelinear codes. Designs, Codes and Cryptography, 89 (1), 599-615. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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1906.06220.pdf | 257.8Kb | [PDF] | Ver/ | |