Abstract
AbstractLet p be a prime ≡ 1 (mod 4) and put v = p(p + 1)/2. It is proved in this paper that there exist four symmetric circulant matrices A, B, C, D of order υ such that where Iv is the identity matrix of order υ. This result is used to construct Hadamard matrices of order 4υ that are of the type originally prescribed by Williamson.
Publisher
Cambridge University Press (CUP)
Cited by
6 articles.
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1. References;Hadamard Matrices;2020-08-06
2. Regular sets of matrices and applications;Graphs and Combinatorics;1993-06
3. A construction of Hadamard matrices;Journal of Combinatorial Theory, Series A;1991-05
4. Some infinite classes of Hadamard matrices;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1980-03
5. A computer listing of hadamard matrices;Lecture Notes in Mathematics;1978