Armario Sampalo, José AndrésBailera, IvánEgan, Ronan2021-06-292021-06-292021Armario Sampalo, J.A., Bailera, I. y Egan, R. (2021). Generalized Hadamard full propelinear codes. Designs, Codes and Cryptography, 89 (1), 599-615.0925-1022https://hdl.handle.net/11441/114931Codes 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.application/pdf21engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Cocyclesgeneralized Hadamard matricesdifference setspropelinear codesrankkernelinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10623-020-00827-7