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Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches

 

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Opened Access Calculating cocyclic hadamard matrices in Mathematica: exhaustive and heuristic searches
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Author: Álvarez Solano, Víctor
Armario Sampalo, José Andrés
Frau García, María Dolores
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2006
Published in: Mathematical Software - ICMS 2006, Lecture Notes in Computer Science, Vol. 4151 p. 419-422
Document type: Chapter of Book
Abstract: We describe a notebook in Mathematica which, taking as input data a homological model for a finite group G of order |G| = 4t, performs an exhaustive search for constructing the whole set of cocyclic Hadamard matrices over G. Since such an exhaustive search is not practical for orders 4t ≥28, the program also provides an alternate method, in which an heuristic search (in terms of a genetic algorithm) is performed. We include some executions and examples
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URI: http://hdl.handle.net/11441/31610

DOI: http://dx.doi.org/10.1007/11832225_42

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