General lower bounds on maximal determinants of binary matrices

Brent, Richard; Osborn, Judy-Anne

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General lower bounds on maximal determinants of binary matrices

Date

2013

Authors

Brent, Richard

Osborn, Judy-Anne

Publisher

International Press

Abstract

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 n

Keywords

Keywords: D-optimal designs; Hadamard matrices; Lower bounds; Maximal determinant; {±1}-matrices

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http://hdl.handle.net/1885/74382

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ANU Research Publications

Source

Electronic Journal of Combinatorics

Type

Journal article

Access Statement

Open Access

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General lower bounds on maximal determinants of binary matrices

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