92×92 {-1, +1} matrices of maximal determinant

Ratio of |Det R_j| to Hadamard bound: 1

M=R_j^TR_j= R_j R_j^T=92 I
where I is the 92×92 identity matrix.

Notes:

1. Maximal matrix first reported by Baumert, Golomb and Hall [BGH].
2. 92 is the lowest order for which for which a combination of Paley and Sylvester constructions does not produce a Hadamard matrix.
3. N. J. A. Sloane's Library of Hadamard matrices has a Hadamard matrix of order 92. Jennifer Seberry's web site lists a Williamson-type Hadamard matrix of order 92.