112×112 {-1, +1} matrices of maximal determinant

|Det Rj| = 2197251404902427390992758649503426145785996018507021671588641612518193758199611392×2111 = 56×2855×2111

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=112 I
where I is the 112×112 identity matrix.

Notes:

  1. Maximal matrix first reported by Paley [P].
  2. N. J. A. Sloane's Library of Hadamard matrices lists 2 Hadamard matrices of order 112.
  3. Christos Koukouvinos lists 94 Hadamard matrices of order 112.

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Page created 12 April 2005.
Last modified 12 April 2005.
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