40×40 {-1, +1} matrices of maximal determinant

|Det Rj| = 200000000000000000000×239 = 20×1019×239

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=40 I
where I is the 40×40 identity matrix.

Notes:

  1. Maximal matrix first reported by Hadamard [Had].
  2. N. J. A. Sloane's Library of Hadamard matrices has three Hadamard matrices of order 40.
  3. The list is presumably not complete.

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Page created 26 January 2002.
Last modified 26 January 2003.
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