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 .	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