108×108 {-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=108 I
where I is the 108×108 identity matrix.

Notes:

1. Maximal matrix first reported by Paley [P].
2. N. J. A. Sloane's Library of Hadamard matrices lists 3 Hadamard matrices of order 108.
3. J. Seberry's web site lists 6 Williamson matrices and 12 good matrices of order 108.