32×32 {-1, +1} matrices of maximal determinant

|Det Rj| = 562949953421312×231 = 16×815×231

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=32 I
where I is the 32×32 identity matrix.

Notes:

  1. Maximal matrix first reported by Sylvester [Sy].
  2. For a list of 22 Hadamard matrices of order 32, refer to Jennifer Seberry's home page.
  3. The list is not complete.

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Page created 26 January 2002.
Last modified 26 January 2003.
Comments: maxdet@indiana.edu