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Published in:
2006 | OriginalPaper | Chapter
Calculating Cocyclic Hadamard Matrices in Mathematica: Exhaustive and Heuristic Searches
Authors : V. Álvarez, J. A. Armario, M. D. Frau, P. Real
Published in: Mathematical Software - ICMS 2006
Publisher: Springer Berlin Heidelberg
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We describe a notebook in
Mathematica
which, taking as input data a homological model for a finite group
G
of order |
G
| = 4
t
, 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 4
t
≥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.