Super-simple balanced incomplete block designs with block size 5 and index 3

Super-simple designs are useful in constructing codes and designs such as superimposed codes and perfect hash families. In this article, we investigate the existence of a super-simple (v,5,3) balanced incomplete block design and show that such a design exists if and only if v≡1,5(mod20) and v≥21 exc...

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Bibliographic Details
Published in:Discrete Applied Mathematics 2013-11, Vol.161 (16-17), p.2396-2404
Main Authors: Chen, Kejun, Chen, Guangzhou, Li, Wen, Wei, Ruizhong
Format: Article
Language:English
Subjects:
Balancing
BIBD
Blocking
Construction
GDD
Hash based algorithms
Mathematical analysis
Super-simple designs
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Summary:Super-simple designs are useful in constructing codes and designs such as superimposed codes and perfect hash families. In this article, we investigate the existence of a super-simple (v,5,3) balanced incomplete block design and show that such a design exists if and only if v≡1,5(mod20) and v≥21 except possibly when v=45,65.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2013.05.007