The number of different reduced complete sets of MOLS corresponding to PG (2,q)

K. H. Hicks, G. L. Mullen, L. Storme, J. Vanpoucke

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Abstract

In the first part of this article we determine the exact number of different reduced complete sets of mutually orthogonal latin squares (MOLS) of order q, for q= pd, p prime, d≥ 1 , corresponding to the Desarguesian projective planes PG(2, q). In the second part we provide some computational results and enumerate the maximal sets of reduced latin squares of order n as part of a set containing exactly r MOLS.

Original languageEnglish (US)
Article number5
JournalJournal of Geometry
Volume109
Issue number1
DOIs
StatePublished - Apr 1 2018

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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