72×72 {-1, +1} matrices of maximal determinant

|Det Rj| = 3096279656855521165058991049662476688977559552×271 = 36×1835×271

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=72 I
where I is the 72×72 identity matrix.

Notes:

  1. Maximal matrix first reported by Paley [P].
  2. N. J. A. Sloane's Library of Hadamard matrices has a Hadamard matrix of order 72.
  3. The list is presumably not complete.

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