A genetic algorithm for cocyclic hadamard matrices

Authors:
V. Álvarez;J. A. Armario;M. D. Frau;P. Real
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;Dpto. Matemática Aplicada I, Universidad de Sevilla, Sevilla, Spain
Venue:
AAECC'06 Proceedings of the 16th international conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Year:
2006

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Abstract

A genetic algorithm for finding cocyclic Hadamard matrices is described. Though we focus on the case of dihedral groups, the algorithm may be easily extended to cover any group. Some executions and examples are also included, with aid of Mathematica 4.0.