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We give general lower bounds on the maximal determinant of n by n {+1,-1}-matrices, both with and without the assumption of the Hadamard conjecture.
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C. Koukouvinos, M. Mitrouli and J. Seberry, Bounds on the maximum determinant for ( 1 , − 1 ) (1,-1) matrices, Bulletin of the Institute of Combinatorics and its Applications 29
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1980
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1985
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1988
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T. Nicely, New maximal prime gaps, Mathematics of Computation 68
1999
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W. de Launey and D. A. Levin, ( 1 , − 1 ) (1,-1) -matrices with near-extremal properties, SIAM Journal on Discrete Mathematics 23
2009
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2010
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T. Rokicki, I. Kazmenko, J-C. Meyrignac, W. P. Orrick, V. Trofimov and J. Wroblewski, Large determinant binary matrices: results from Lars Backstrom’s programming contest , 18 pp., July 31, 2010. Unpublished report (courtesy of W. P. Orrick)
2010
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2010
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2012
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2012
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T. O. e Silva, Gaps between consecutive primes , http://www.ieeta.pt/~tos/gaps.html , 22 Nov. 2012
2012
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