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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcta.2005.07.011
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dc.titleNew Hadamard matrices of order 4 p2 obtained from Jacobi sums of order 16
dc.contributor.authorLeung, K.H.
dc.contributor.authorMa, S.L.
dc.contributor.authorSchmidt, B.
dc.date.accessioned2014-10-28T02:39:10Z
dc.date.available2014-10-28T02:39:10Z
dc.date.issued2006-07
dc.identifier.citationLeung, K.H., Ma, S.L., Schmidt, B. (2006-07). New Hadamard matrices of order 4 p2 obtained from Jacobi sums of order 16. Journal of Combinatorial Theory. Series A 113 (5) : 822-838. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcta.2005.07.011
dc.identifier.issn00973165
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103601
dc.description.abstractLet p ≡ 7 mod 16 be a prime. Then there are integers a, b, c, d with a ≡ 15 mod 16, b ≡ 0 mod 4, p2 = a2 + 2 ( b2 + c2 + d2 ), and 2 ab = c2 - 2 cd - d2. We show that there is a regular Hadamard matrix of order 4 p2 provided that p = a ± 2 b or p = a + δ1 2 b + 4 δ2 c + 4 δ1 δ2 d with δi = ± 1. © 2006 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.jcta.2005.07.011
dc.sourceScopus
dc.subjectDifference families
dc.subjectHadamard matrices
dc.subjectJacobi sums
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.jcta.2005.07.011
dc.description.sourcetitleJournal of Combinatorial Theory. Series A
dc.description.volume113
dc.description.issue5
dc.description.page822-838
dc.description.codenJCBTA
dc.identifier.isiut000238494300005
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