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Modular Hadamard Matrices and Related Designs, II

Published online by Cambridge University Press:  20 November 2018

O. Marrero  and
A. T. Butson
O. Marrero
Affiliation:
Francis Marion College, Florence, South Carolina
A. T. Butson
Affiliation:
University of Miami, Coral Gables, Florida
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An h by h matrix with entries ±1 is called a modular Hadamard matrix if the inner product of any two distinct row vectors is a multiple of a fixed (positive) integer n; such a matrix is also referred to as an “H(n, h) matrix” with parameters n and h. Modular Hadamard matrices and the related combinatorial designs were introduced in [2]; that paper was concerned mainly with two of the related designs, the “pseudo (ν, k, λ)- designs” and the “ (m, v, k1, λ1, k2, λ2, f, λ3)-designs” (the reader is referred to [2] for the definition of these designs).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 6 , December 1972 , pp. 1100 - 1109
Copyright
Copyright © Canadian Mathematical Society 1972

References

1. Hall, M., Jr., Combinatorial theory (Blaisdell, Waltham, Mass., 1967).Google Scholar
2. Marrero, O. and Butson, A. T., Modular Hadamard matrices and related designs (to appear in J. Combinatorial Theory).Google Scholar
3. Ryser, H. J., Combinatorial mathematics (Wiley, New York, 1963).Google Scholar
4. Sprott, D. A., Some series of partially balanced incomplete block designs, Can. J. Math. 7 (1955), 369–381.Google Scholar