Generalized Hadamard full propelinear codes
Combinatorics
2019-06-17 v1
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 Hadamard full propelinear codes turns out. We prove that their existence is equivalent to the existence of central relative -difference sets. Moreover, some structural properties of these codes are studied and examples are provided.
Cite
@article{arxiv.1906.06220,
title = {Generalized Hadamard full propelinear codes},
author = {José Andrés Armario and Ivan Bailera and Ronan Egan},
journal= {arXiv preprint arXiv:1906.06220},
year = {2019}
}
Comments
Submitted to Designs, Codes and Cryptography