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Hadamard ideals and Hadamard matrices with two circulant cores

By Ilias S. Kotsireas A, Christos Koukouvinos B and Jennifer Seberry C

Abstract

We apply Computational Algebra methods to the construction of Hadamard matrices with two circulant cores, given by Fletcher, Gysin and Seberry. We introduce the concept of Hadamard ideal, to systematize the application of Computational Algebra methods for this construction. We use the Hadamard ideal formalism to perform exhaustive search constructions of Hadamard matrices with two circulan

Topics: Key words, Hadamard Matrices, Computational Algebra, Hadamard ideal, Hadamard equivalence, algorithm
Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.190.8695
Provided by: CiteSeerX
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