Counting techniques specifying the existence of submatrices in weighing matrices

Authors:
C. Kravvaritis;M. Mitrouli;Jennifer Seberry
Affiliations:
Department of Mathematics, University of Athens, Athens, Greece;Department of Mathematics, University of Athens, Athens, Greece;Centre for Computer Security Research, SITACS, University of Wollongong, Wollongong, NSW, Australia
Venue:
CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
Year:
2005

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Abstract

Two algorithmic techniques for specifying the existence of a k × k submatrix with elements 0,±1 in a skew and symmetric conference matrix of order n are described. This specification is achieved using an appropriate computer algebra system.