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

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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 = p(d), 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.
Keywords
Computations, Desarguesian projective planes, latin squares, mutually orthogonal latin squares, ORTHOGONAL LATIN SQUARES, MAXIMAL SETS

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Please use this url to cite or link to this publication:

Chicago
Hicks, KH, GL Mullen, Leo Storme, and J Vanpoucke. 2018. “The Number of Different Reduced Complete Sets of MOLS Corresponding to PG (2,q).” Journal of Geometry 109.
APA
Hicks, K., Mullen, G., Storme, L., & Vanpoucke, J. (2018). The number of different reduced complete sets of MOLS corresponding to PG (2,q). JOURNAL OF GEOMETRY, 109.
Vancouver
1.
Hicks K, Mullen G, Storme L, Vanpoucke J. The number of different reduced complete sets of MOLS corresponding to PG (2,q). JOURNAL OF GEOMETRY. 2018;109.
MLA
Hicks, KH et al. “The Number of Different Reduced Complete Sets of MOLS Corresponding to PG (2,q).” JOURNAL OF GEOMETRY 109 (2018): n. pag. Print.
@article{8563216,
  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 = p(d), 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.},
  articleno    = {5},
  author       = {Hicks, KH and Mullen, GL and Storme, Leo and Vanpoucke, J},
  issn         = {0047-2468},
  journal      = {JOURNAL OF GEOMETRY},
  keywords     = {Computations,Desarguesian projective planes,latin squares,mutually orthogonal latin squares,ORTHOGONAL LATIN SQUARES,MAXIMAL SETS},
  language     = {eng},
  pages        = {10},
  title        = {The number of different reduced complete sets of MOLS corresponding to PG (2,q)},
  url          = {http://dx.doi.org/10.1007/s00022-018-0410-x},
  volume       = {109},
  year         = {2018},
}

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