Hadamard matrices of Williamson type
- 1 March 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 21 (4) , 481-486
- https://doi.org/10.1017/s1446788700019327
Abstract
Let 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.Keywords
This publication has 4 references indexed in Scilit:
- An infinite family of Hadamard matrices of Williamson typeJournal of Combinatorial Theory, Series A, 1973
- An infinite class of Williamson matricesJournal of Combinatorial Theory, Series A, 1972
- Combinatorics: Room Squares, Sum-Free Sets, Hadamard MatricesLecture Notes in Mathematics, 1972
- Hadamard’s determinant theorem and the sum of four squaresDuke Mathematical Journal, 1944