Some 6 x 11 Youden squares and double Youden rectangles

Preece, Donald A. (1997) Some 6 x 11 Youden squares and double Youden rectangles. In: 15th British Combinatorial Conference, July 3-7th 1995, University of Stirling, Stirling, Scotland. (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)
Official URL
http://dx.doi.org/10.1016/S0012-365X(96)00254-3

Abstract

5-cyclic Youden squares of size 6x11 are enumerated and classified into 70 species. In a certain standardised form, there are 249 such Youden squares. Of the 61 752 ordered pairs of these, just 1352 can be used to construct 5-cyclic 6 x 11 double Youden rectangles (DYRs); this gives a 'success rate' of 2.2%. The DYRs fall into 175 species, of which 12 exhibit some symmetry. Hitherto, just a single 5-cyclic 6 x 11 DYR has appeared in print. The results are introduced via the analogous results for 4 x 7 Youden squares and DYRs, and provide encouragement in the search for 2p x (4p - 1)DYRs with p > 3; no such DYR with p > 4 has yet been found; the paper is motivated by the need to explore possible ways of finding some.

Item Type: Conference or workshop item (Paper)
Additional information: Proceedings Paper
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Suzanne Duffy
Date Deposited: 19 Mar 2009 11:35
Last Modified: 23 Apr 2014 11:18
Resource URI: http://kar.kent.ac.uk/id/eprint/16416 (The current URI for this page, for reference purposes)
  • Depositors only (login required):