José Andrés Armario, Ivan Bailera, Ronan Egan
Published 2019-06-14Version 1
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.
Comments: Submitted to Designs, Codes and Cryptography
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