10×10 {-1, +1} matrix of maximal determinant

|Det R| = 144×29 = 18×23×29

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

M=RTR=R RT:

10  2  2  2  2  0  0  0  0  0
 2 10  2  2  2  0  0  0  0  0
 2  2 10  2  2  0  0  0  0  0
 2  2  2 10  2  0  0  0  0  0
 2  2  2  2 10  0  0  0  0  0
 0  0  0  0  0 10  2  2  2  2
 0  0  0  0  0  2 10  2  2  2
 0  0  0  0  0  2  2 10  2  2
 0  0  0  0  0  2  2  2 10  2
 0  0  0  0  0  2  2  2  2 10

R:

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

Notes:

  1. Reported to be maximal in [EZ] and in [Wo].
  2. R is unique up to equivalence [Sm].

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Page created 26 January 2002.
Last modified 5 November 2004.
Comments: maxdet@indiana.edu