Owens, P.J.,
Preece, Donald A.
(1996)
*
Some new non-cyclic Latin squares that have cyclic and Youden properties.
*
Ars Combinatoria,
44
.
pp. 137-148.
ISSN 0381-7032.
(The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)
(KAR id:18712)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. |

## Abstract

This note gives what is believed to be the first published example of a symmetric 11 x 11 Latin square which, although not cyclic, has the property that the permutation between any two rows is an 11-cycle. The square has the further property that two subsets of its rows constitute 5 x 11 Youden squares. The note shows how this 11 x 11 Latin square can be obtained by a general construction for n x n Latin squares where n is prime with n greater than or equal to 11. The permutation between any two rows of any Latin square obtained by the general construction is an n-cycle; two subsets of (n - 1)/2 rows from the Latin square constitute Youden squares if n = 3 (mod 8).

Item Type: | Article |
---|---|

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | F.D. Zabet |

Date Deposited: | 10 Jun 2009 16:27 UTC |

Last Modified: | 16 Nov 2021 09:56 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/18712 (The current URI for this page, for reference purposes) |

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