General lower bounds on maximal determinants of binary matrices

Title: General lower bounds on maximal determinants of binary matrices
Creator: Brent, Richard P.; Osborn, Judy-anne H.
Relation: Electronic Journal of Combinatorics Vol. 20, Issue 2
Relation: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i2p15
Publisher: Electronic Journal of Combinatoric
Resource Type: journal article
Date: 2013
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 Levin (2010) and, for certain congruence classes of nmod4, the results of Koukouvinos, Mitrouli and Seberry (2000). In an Appendix we give a new proof, using Jacobi's determinant identity, of a result of Szöllősi (2010) on minors of Hadamard matrices.
Subject: {±1}-matrices; lower bounds; maximal determinant; D-optimal designs; Hadamard matrices
Identifier: http://hdl.handle.net/1959.13/1341399
Identifier: uon:28734
Identifier: ISSN:1077-8926
Language: eng
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