Owens, P.J. and Preece, D.A. (1996) Some new non-cyclic Latin squares that have cyclic and Youden properties. Ars Combinatoria, 44 . pp. 137-148. ISSN 0381-7032.
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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: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | F.D. Zabet |
| Date Deposited: | 10 Jun 2009 16:27 |
| Last Modified: | 10 Jun 2009 16:27 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/18712 (The current URI for this page, for reference purposes) |
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