60×60 {-1, +1} matrices of maximal determinant

|Det Rj| = 383502118465768173336982727050781250×259 = 30×1529×259

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=60 I
where I is the 60×60 identity matrix.


  1. Maximal matrix first reported by Paley [P].
  2. N. J. A. Sloane's Library of Hadamard matrices has three Hadamard matrices of order 60. Jennifer Seberry's web site lists four Williamson-type Hadamard matrices of order 60.

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