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Criteria for a Hadamard Matrix to be Skew-Equivalent

Published online by Cambridge University Press:  20 November 2018

Judith Q. Longyear
Judith Q. Longyear*
Affiliation:
Wayne State University, Detroit, Michigan
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A matrix H of order n = 4t with all entries from the set ﹛1, —1﹜ is Hadamard if HHt = 4tI. The set of Hadamard matrices is . A matrix is of type I or is skew-Hadamard if H = S — I where St = —S (some authors also use H = S + I). The set of type I members is . A matrix P is a signed permutation matrix if each row and each column has exactly one non-zero entry, and that entry is from the set ﹛1, —1﹜.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 6 , 01 December 1976 , pp. 1216 - 1223
Copyright
Copyright © Canadian Mathematical Society 1976

References

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