An Infinite Class of Williamson Matrices
暂无分享，去创建一个
Abstract Only a finite number of Hadamard matrices of Williamson type are known so far; it has been conjectured that one such exists of any order 4 t . An infinite family is constructed here, and as a corollary it is shown that an Hadamard matrix of order 6( q + 1) exists if q is a prime power ≡ 1 (mod 4).
[1] J. Williamson. Hadamard’s determinant theorem and the sum of four squares , 1944 .
[2] J. J. Seidel,et al. Orthogonal Matrices with Zero Diagonal , 1967, Canadian Journal of Mathematics.
[3] Jennifer Seberry,et al. Complex Hadamard matrices , 1973 .
[4] L. D. Baumert,et al. Hadamard matrices of the Williamson type , 1965 .
[5] Marshall Hall,et al. A new construction for Hadamard matrices , 1965 .