5×5 {-1, +1} matrix of maximal determinant

|Det R| = 3×24 = 3×11×24

Ratio of |Det R| to Barba bound: 1

M=RTR=R RT: 

5 1 1 1 1
1 5 1 1 1
1 1 5 1 1
1 1 1 5 1
1 1 1 1 5

R: 

-++++
+-+++
++-++
+++-+
++++-

Notes:

  1. Proved maximal by Mood [M].
  2. Circulant matrix.
  3. R is unique up to equivalence.
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Page created 26 January 2002.
Last modified 5 December 2003.
Comments: maxdet@indiana.edu