64×64 {-1, +1} matrices of maximal determinant

|Det Rj| = 680564733841876926926749214863536422912×263 = 32×1631×263

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=64 I
where I is the 64×64 identity matrix.


  1. Maximal matrix first reported by Sylvester [Sy].
  2. N. J. A. Sloane's Library of Hadamard matrices has a Hadamard matrix of order 64 which is a Sylvester matrix.
  3. The list is presumably not complete.

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Page created 25 January 2003.
Last modified 26 January 2003.
Comments: maxdet@indiana.edu