The geometry of sets of orthogonal frequency hypercubes

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dc.contributor.author Mullen, Gary L.
dc.contributor.author McDonough, Thomas P.
dc.contributor.author Mavron, V. C.
dc.date.accessioned 2010-12-07T08:57:02Z
dc.date.available 2010-12-07T08:57:02Z
dc.date.issued 2006-11
dc.identifier.citation Mullen , G L , McDonough , T P & Mavron , V C 2006 , ' The geometry of sets of orthogonal frequency hypercubes ' Journal of Combinatorial Designs , pp. 449 . , 10.1002/jcd.20135 en
dc.identifier.issn 1520-6610
dc.identifier.other PURE: 154853
dc.identifier.other dspace: 2160/5984
dc.identifier.uri http://hdl.handle.net/2160/5984
dc.description V.C. Mavron, T.P. McDonough, Gary L. Mullen, The geometry of sets of orthogonal frequency hypercubes. Journal of Combinatorial Designs, Volume 15, Issue 6, pages 449–459, November 2007. en
dc.description.abstract We extend the notion of a framed net, introduced by D. Jungnickel, V. C. Mavron, and T. P. McDonough, J Combinatorial Theory A, 96 (2001), 376–387, to that of a d-framed net of type ℓ, where d ≥ 2 and 1 ≤ ℓ ≤ d-1, and we establish a correspondence between d-framed nets of type ℓ and sets of mutually orthogonal frequency hypercubes of dimension d. We provide a new proof of the maximal size of a set of mutually orthogonal frequency hypercubes of type ℓ and dimension d, originally established by C. F. Laywine, G. L. Mullen, and G. Whittle, Monatsh Math 119 (1995), 223–238, and we obtain a geometric characterization of the framed net when this bound is satisfied as a PBIBD based on a d-class association Hamming scheme H(d,n). en
dc.format.extent 449 en
dc.language.iso eng
dc.relation.ispartof Journal of Combinatorial Designs en
dc.title The geometry of sets of orthogonal frequency hypercubes en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1002/jcd.20135
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Algebraic Combinatorics en
dc.description.status Peer reviewed en


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