Article
Generalized Hadamard full propelinear codes
Author/s | Armario Sampalo, José Andrés
![]() ![]() ![]() ![]() ![]() ![]() ![]() Bailera, Iván Egan, Ronan |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2021 |
Deposit Date | 2021-06-29 |
Published in |
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Abstract | 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. |
Funding agencies | Junta de Andalucía Ministerio de Ciencia, Innovación y Universidades (MICINN). España |
Project ID. | FQM-016
![]() TIN2016-77918-P ![]() |
Citation | Armario Sampalo, J.A., Bailera, I. y Egan, R. (2021). Generalized Hadamard full propelinear codes. Designs, Codes and Cryptography, 89 (1), 599-615. |
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