108×108 {-1, +1} matrices of maximal determinant

|Det Rj| = 393254100951105827236151817053824232566206901888429533854630831075932782393618×2107 = 54×2753×2107

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=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.

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Page created 12 April 2005.
Last modified 12 April 2005.
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