OFFSET
1,1
COMMENTS
The excess of a {-1,1} matrix is the sum of its elements. A Hadamard matrix is 3-normalized if its first three rows contain an even number of entries -1 in each column. 3-normalized Hadamard matrices of order 4n with large excess can be used to construct large-determinant {-1,1} matrices of order 4n+1.
LINKS
W. P. Orrick and B. Solomon, The Hadamard Maximal Determinant Problem (website)
W. P. Orrick and B. Solomon, Large-determinant sign matrices of order 4k+1, Discr. Math. 307 (2007), 226-236.
CROSSREFS
KEYWORD
hard,more,nonn
AUTHOR
William P. Orrick, Mar 28 2009
STATUS
approved