56×56 {-1, +1} matrices of maximal determinant

|Det Rj| = 246953391382495871652459563712512×255 = 28×1427×255

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=56 I
where I is the 56×56 identity matrix.

Notes:

  1. Maximal matrix first reported by Scarpis [Sc1].
  2. A maximal matrix can also be constructed by methods of Paley [P].
  3. N. J. A. Sloane's Library of Hadamard matrices has two Hadamard matrices of order 56.
  4. The list is presumably not complete.

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Page created 20 March 2002.
Last modified 7 October 2012.
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