3 papers
cs.IT2020
Butson full propelinear codes
José Andrés Armario, Ivan Bailera, Ronan Egan
In this paper we study Butson Hadamard matrices, and codes over finite rings coming from these matrices in logarithmic form, called BH-codes. We introduce a new morphism of Butson…
math.CO2019
Generalized Hadamard full propelinear codes
José Andrés Armario, Ivan Bailera, Ronan Egan
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 cl…
math.CO2018
Hadamard full propelinear codes with associated group ; rank and kernel
Ivan Bailera, Joaquim Borges, Josep Rifà
We introduce the Hadamard full propelinear codes that factorize as direct product of groups such that their associated group is . We study the rank, the dimension…