68×68 {-1, +1} matrices of maximal determinant

|Det Rj| = 1368652901771550068097893439851509820974658×267 = 34×1733×267

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=68 I
where I is the 68×68 identity matrix.


  1. Maximal matrix first reported by Paley [P].
  2. N. J. A. Sloane's Library of Hadamard matrices has two Hadamard matrices of order 68. Jennifer Seberry's web site lists four Williamson-type Hadamard matrices of order 68.

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Page created 25 January 2003.
Last modified 26 January 2003.
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