Hadamard matrices: skew of orders 276, 292 and symmetric 372
arXiv:2301.02751
Abstract
The smallest integer v>0 for which no skew-Hadamard matrix of order 4v is known is v=69. We show how to construct several such matrices. We also construct presumably the first example of a skew-Hadamard matrix of order 292, and the first examples of symmetric Hadamard matrices of order 372.
5 pages