2019/06/14 by Armario, José Andrés, Bailera, Ivan, Egan, Ronan
#05B20 #05E18 #94B60 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1906.06220
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.