Previous 58×58 {-1, +1} matrix of largest known determinant

|Det R| = 5266144789164426750772981950054400×257 = 1638400×1424×257

Ratio of |Det R| to Ehlich/Wojtas bound: 0.748226

M=RTR=R RT:


R:


Notes:

  1. This lower bound has been superseded by a new record.
  2. Cannot achieve Ehlich/Wojtas bound since 57=58-1 is not the sum of two squares.
  3. See the home page of Christos Koukouvinos.
  4. This value is the determinant of the matrix obtained by taking the Kronecker product of the 2×2 Hadamard matrix and the 29×29 matrix of largest known determinant.

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Page created 28 June 2003.
Last modified 7 April 2005.
Comments: maxdet@indiana.edu