Abstract
Using the terminology in 2 (where the expression m-type is also explained) we will prove the following theorems:
Theorem 1. If there exist
(i) a skew-Hadamard matrix H = U+I of order h,
(ii)m-type matrices M = W+I and N = NT of order m,
(iii) three matrices X, Y, Z of order x = 3 (mod 4) satisfying
(a) XYT, YZT and ZXT all symmetric, and
(b) XXT = aIx+bJxthen is an Hadamard matrix of order mxh.
Publisher
Cambridge University Press (CUP)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. References;Hadamard Matrices;2020-08-06
2. On skew-Hadamard matrices;Discrete Mathematics;2008-07
3. Some new constructions for orthogonal designs;Combinatorial Mathematics IV;1976
4. Hadamard matrices of order 28m, 36m and 44m;Journal of Combinatorial Theory, Series A;1973-11
5. Skew Hadamard matrices of Goethals-Seidel type;Discrete Mathematics;1972-07