| 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 . |
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 |