The Geometry of Frequency Squares

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dc.contributor.author Mavron, Vassili C.
dc.contributor.author Jungnickel, D.
dc.contributor.author McDonough, Thomas P.
dc.date.accessioned 2008-12-08T09:10:07Z
dc.date.available 2008-12-08T09:10:07Z
dc.date.issued 2001-11
dc.identifier.citation Mavron , V C , Jungnickel , D & McDonough , T P 2001 , ' The Geometry of Frequency Squares ' Journal of Combinatorial Theory, Series A , vol 96 , no. 2 , pp. 376-387 . , 10.1006/jcta.2001.3196 en
dc.identifier.issn 0097-3165
dc.identifier.other PURE: 88599
dc.identifier.other dspace: 2160/1418
dc.identifier.uri http://hdl.handle.net/2160/1418
dc.description Mavron, Vassili; Jungnickel, D.; McDonough, T.P., (2001) 'The Geometry of Frequency Squares', Journal of Combinatorial Theory, Series A 96, pp.376-387 RAE2008 en
dc.description.abstract This paper establishes a correspondence between mutually orthogonal frequency squares (MOFS) and nets satisfying an extra property (“framed nets”). In particular, we provide a new proof for the bound on the maximal size of a set of MOFS and obtain a geometric characterisation of the case of equality: necessary and sufficient conditions for the existence of a complete set of MOFS are given in terms of the existence of a certain type of PBIBD based on the L2-association scheme. We also discuss examples obtained from classical affine geometry and recursive construction methods for (complete) sets of MOFS. en
dc.format.extent 12 en
dc.language.iso eng
dc.relation.ispartof Journal of Combinatorial Theory, Series A en
dc.title The Geometry of Frequency Squares en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1006/jcta.2001.3196
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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