76×76 {-1, +1} matrices of maximal determinant

|Det Rj| = 7828288667806147583617925213592561915833265584882×275 = 38×1937×275

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=76 I
where I is the 76×76 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 76. Jennifer Seberry's web site lists six Williamson-type Hadamard matrices of order 76.

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