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.


  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.

Back to maximal determinant main page.
Page created 20 March 2002.
Last modified 7 October 2012.
Comments: maxdet@indiana.edu