Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646576 | Discrete Mathematics | 2017 | 7 Pages |
Abstract
Super-simple designs can be used to provide samples with maximum intersection as small as possible in statistical planning of experiments and can be also applied to cryptography and codes. In this paper, super-simple pairwise balanced designs with block sizes 3 and 4 are investigated and it is proved that the necessary conditions for the existence of a super-simple (v,{3,4},λ)(v,{3,4},λ)-PBD for 2≤λ≤62≤λ≤6 are sufficient with three possible exceptions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Guangzhou Chen, Yong Zhang, Kejun Chen,