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Hadamard matrices

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Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1341294
Description: By an old result of Cohn (1965), a Hadamard matrix of order n has no proper Hadamard submatrix of order m > n/2. We generalize this result to maximal determinant submatrices of Ha... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1040743
Description: We prove an upper bound on sums of squares of minors of {+1,−1} matrices. The bound is sharp for Hadamard matrices, a result due to de Launey and Levin (2009), but our proof is simpler. We give severa... More
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Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1341399
Description: We give general lower bounds on the maximal determinant of n×n {+1,−1}-matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier results of de Launey and... More
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Reviewed: Reviewed
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