98×98 {-1, +1} matrices of maximal determinant

|Det Rj| = 172548558877691796311389152582223886724686912229770362732004688003072×297 = 2328×2447×297

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

M=RTR=R RT:

    | S   0 |
M = |       |
    | 0   S |
with S = 96 I + 2 J where I is the 49×49 identity matrix and J is the 49×49 matrix with all entries 1.

Notes:

  1. A maximal matrix was first found by Cohn [C1]. It is of circulant block form.
  2. Twelve 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