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:
- This lower bound has been superseded by a new record.
- Cannot achieve Ehlich/Wojtas bound since 57=58-1 is not the sum of two
squares.
- See the home page of
Christos
Koukouvinos.
- 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.
Back to maximal
determinant main page.
Page created 28 June 2003.
Last modified 7 April 2005.
Comments:
maxdet@indiana.edu