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arXiv · 1906.06220

Generalized Hadamard full propelinear codes

José Andrés Armario·Ivan Bailera·Ronan Egan
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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 $(v,w,v,v/w)$-difference sets. Moreover, some structural properties of these codes are studied and examples are provided.

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José Andrés Armario, Ivan Bailera, Ronan Egan. 2019-06-14. Generalized Hadamard full propelinear codes. https://arxiv.org/abs/1906.06220

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