Corpus ID: 724656

New bounds for pairwise orthogonal diagonal Latin squares

@article{Du1993NewBF,
  title={New bounds for pairwise orthogonal diagonal Latin squares},
  author={B. Du},
  journal={Australas. J Comb.},
  year={1993},
  volume={7},
  pages={87-100}
}
  • B. Du
  • Published 1993
  • Mathematics, Computer Science
  • Australas. J Comb.
A diagonal Latin square is a Latin square whose main diagonal and back diagonal are both transversals. Let dr be the least integer such that for all n > dr there exist r pairwise orthogonal diagonal Latin squares of order n. In a previous paper Wallis and Zhu gave several bounds on the dr. In this paper we shall present some constructions of pairwise orthogonal diagonal Latin squares and consequently obtain new bounds for five pairwise orthogonal diagonal Latin squares. 
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