Some remarks on Hadamard matrices

DOI10.1007/s12095-010-0036-9zbMath1225.05057OpenAlexW2155474142MaRDI QIDQ601110

Marilena Mitrouli, Jennifer Seberry Wallis

Publication date: 3 November 2010

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://ro.uow.edu.au/cgi/viewcontent.cgi?article=1869&context=infopapers

zbMATH Keywords

Hadamard matricesGaussian eliminationdeterminantSmith normal formcompletely pivotedembedding matrices

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40)

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Cites Work

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• 2-(31,15,7), 2-(35,17,8) and 2-(36,15,6) designs with automorphisms of odd prime order, and their related Hadamard matrices and codes
• On the asymptotic existence of Hadamard matrices
• Skew-Hadamard matrices and the Smith normal form
• The maximal determinant and subdeterminants of \(\pm\)1 matrices.
• Pivot size in Gaussian elimination
• Equivalence of Hadamard matrices
• The growth factor of a Hadamard matrix of order 16 is 16
• On the classification of Hadamard matrices of order 32
• Growth in Gaussian Elimination
• On the complete pivoting conjecture for a hadamard matrix of order 12
• On Growth in Gaussian Elimination with Complete Pivoting

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