86×86 {-1, +1} matrices of maximal determinant

|Det Rj| = 2901544960730054447214028558383149382778828453034019745485×285 = 1785×2141×285

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

M=RTR=R RT: 

    | S   0 |
M = |       |
    | 0   S |
with S = 84 I + 2 J where I is the 43×43 identity matrix and J is the 43×43 matrix with all entries 1.

Notes:

  1. Maximal matrices were first found by Chadjipantelis and Kounias [CK]. They are of circulant block form.
  2. Their seventeen 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