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.
Original language | English |
---|---|
Pages (from-to) | 376-387 |
Number of pages | 12 |
Journal | Journal of Combinatorial Theory, Series A |
Volume | 96 |
Issue number | 2 |
DOIs | |
Publication status | Published - Nov 2001 |