74×74 {-1, +1} matrices of maximal determinant

|Det Rj| = 113014207475226522524653173312680399147680923648×273 = 1314×1835×273

Ratio of |Det R| to Ehlich/Wojtas bound: 1

M=RTR=R RT:

    | S   0 |
M = |       |
    | 0   S |
with S = 72 I + 2 J where I is the 37×37 identity matrix and J is the 37×37 matrix with all entries 1.

Notes:

  1. A maximal matrix was first found by Cohn [C1]. It is of circulant block form.
  2. Seven circulant block matrices are listed on Jennifer Seberry's D-optimal design page.
  3. Are there other inequivalent matrices?

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Page created 28 May 2003.
Last modified 28 May 2003.
Comments: maxdet@indiana.edu