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

|Det Rj| = 871987887785345328400706922810752470803327316988283350840522978×291 = 46×2345×291

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=92 I
where I is the 92×92 identity matrix.


  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.

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Page created 26 January 2003.
Last modified 26 January 2003.
Comments: maxdet@indiana.edu