Some new non-cyclic Latin squares that have cyclic and Youden properties

Owens, P.J. and 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 available from this repository)

The full text of this publication is not available from this repository. (Contact us about this Publication)

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: 04 Jun 2014 08:50
Resource URI: http://kar.kent.ac.uk/id/eprint/18712 (The current URI for this page, for reference purposes)
  • Depositors only (login required):