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

M=R^{T}R=R R^{T}:

| S 0 | M = | | | 0 S |with S = 88 I + 2 J where I is the 45×45 identity matrix and J is the 45×45 matrix with all entries 1.

Notes:

- A maximal matrix was first found by Cohn [C1]. It is of circulant block form.
- The complete set of 1025 inequivalent circulant block forms was found by by Kounias, Koukouvinos, Nikolaou and Kakos [KKNK2]. A list of these can be obtained from the web page of Christos Koukouvinos.
- Are there other inequivalent matrices?

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Page created 28 May 2003.

Last modified 28 May 2003.

Comments: maxdet@indiana.edu