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On the zeroes of profiles

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

W. D. Wallis
W. D. Wallis
Affiliation:
Department of Mathematics, Southern Illinois University Carbondale, Illinois 62901-4408, U.S.A.
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Abstract

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The k-profile of an Hadamard matrix of order n is a function defined on the integers 0, 1,…,n. If k is even, k-profile of an Hadamard matrix of order n (k even) has non-zero terms only in every eighth position. If k is divisible by 4, the non-zero positions are those congruent to n (modulo 8).

MSC classification

Secondary: 05B20: Matrices (incidence, Hadamard, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 3 , December 1989 , pp. 424 - 429
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Cooper, J., Milas, J. and Wallis, W. D., ‘Hadamard equivalence,’ Combinatorial Mathematics, 126–135 (Springer-Verlag, Heidelberg, 1978).Google Scholar
[2]Hall, M. Jr, Combinatorial theory (2nd ed., John Wiley, New York, 1986).Google Scholar
[3]Lin, C. and Wallis, W. D., Profiles of Hadamard matrices of order24, Congr. Numer. 66 (1988), 93–102.Google Scholar
[4]Wallis, W. D., Combinatorial designs (Marcel Dekker, New York, 1988).Google Scholar
[5]Wallis, W. D., Street, A. P. and Wallis, J. S., Combinatorics: Room squares, sum-free sets, Hadamard matrices (Springer-Verlag, Heidelberg, 1972).Google Scholar