A heuristic procedure with guided reproduction for constructing cocyclic Hadamard matrices

Authors:
V. Álvarez;M. D. Frau;A. Osuna
Affiliations:
Dpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain;Dpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain;Dpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain
Venue:
ICANNGA'09 Proceedings of the 9th international conference on Adaptive and natural computing algorithms
Year:
2009

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Abstract

A genetic algorithm for constructing cocyclic Hadamard matrices over a given group is described. The novelty of this algorithm is the guided heuristic procedure for reproduction, instead of the classical crossover and mutation operators. We include some runs of the algorithm for dihedral groups, which are known to give rise to a large amount of cocyclic Hadamard matrices.