Show simple item record Gary L. en_US Thomas P. en_US V. C. en_US 2010-12-07T08:57:02Z 2010-12-07T08:57:02Z 2006-11 en_US
dc.identifier en_US
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_US
dc.identifier.other PURE: 154853 en_US
dc.identifier.other dspace: 2160/5984 en_US
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_US
dc.format.extent 449 en_US
dc.relation.ispartof Journal of Combinatorial Designs en_US
dc.title The geometry of sets of orthogonal frequency hypercubes en_US
dc.contributor.pbl Institute of Mathematics & Physics (ADT) en_US
dc.contributor.pbl Algebraic Combinatorics en_US

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