52×52 {-1, +1} matrices of maximal determinant

|Det Rj| = 183466660386537233316799232018×251 = 26×1325×251

Ratio of |Det Rj| to Hadamard bound: 1

M=RjTRj= Rj RjT=52 I
where I is the 52×52 identity matrix.

Notes:

  1. Maximal matrix first reported by Paley [P].
  2. Christos Koukouvinos has a file of 7046 skew-Hadamard matrices of order 52 on his home page. Jennifer Seberry's web site lists four Williamson-type Hadamard matrices of order 52.

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Page created 20 March 2002.
Last modified 26 January 2003.
Comments: maxdet@indiana.edu