Title of article :
Some 6 × 11 Youden squares and double Youden rectangles Original Research Article
Author/Authors :
D.A. Preece، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1997
Pages :
15
From page :
527
To page :
541
Abstract :
5-cyclic Youden squares of size 6 × 11 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 × 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 × 11 DYR has appeared in print. The results are introduced via the analogous results for 4 × 7 Youden squares and DYRs, and provide encouragement in the search for 2p × (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.
Journal title :
Discrete Mathematics
Serial Year :
1997
Journal title :
Discrete Mathematics
Record number :
951804
Link To Document :
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