Show simple item record Vassili C. en_US D. en_US Thomas P. en_US 2008-12-08T09:10:07Z 2008-12-08T09:10:07Z 2001-11 en_US
dc.identifier en_US
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_US
dc.identifier.other PURE: 88599 en_US
dc.identifier.other dspace: 2160/1418 en_US
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_US
dc.format.extent 12 en_US
dc.relation.ispartof Journal of Combinatorial Theory, Series A en_US
dc.title The Geometry of Frequency Squares en_US
dc.contributor.pbl Institute of Mathematics & Physics (ADT) en_US
dc.contributor.pbl Algebraic Combinatorics en_US

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