{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:57Z","timestamp":1753893837865,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We give general\u00a0lower bounds on the maximal determinant of $n \\times n$ $\\{+1,-1\\}$-matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier results of de Launey and Levin (2010)\u00a0and, for certain congruence classes of $n \\bmod 4$, the results of\u00a0Koukouvinos, Mitrouli and Seberry (2000).\u00a0In an Appendix we give a new proof, using Jacobi's determinant identity,\u00a0of a result of\u00a0Sz\u00f6ll\u0151si\u00a0(2010) on minors of Hadamard matrices.<\/jats:p>","DOI":"10.37236\/2612","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:13:16Z","timestamp":1578719596000},"source":"Crossref","is-referenced-by-count":1,"title":["General Lower Bounds on Maximal Determinants of Binary Matrices"],"prefix":"10.37236","volume":"20","author":[{"given":"Richard P.","family":"Brent","sequence":"first","affiliation":[]},{"given":"Judy-anne H.","family":"Osborn","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,4,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p15\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i2p15\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:21:18Z","timestamp":1579260078000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i2p15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,4,24]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2013,4,9]]}},"URL":"https:\/\/doi.org\/10.37236\/2612","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,4,24]]},"article-number":"P15"}}