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

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

doi:10.1007/s00022-018-0410-x

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Article number	5
Journal	Journal of Geometry
Volume	109
Issue number	1
DOIs	https://doi.org/10.1007/s00022-018-0410-x
State	Published - Apr 1 2018

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s00022-018-0410-x

Cite this

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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.",

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AB - 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.

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

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All Science Journal Classification (ASJC) codes

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