Some New Bounds for Cover-Free Families

Journal of Combinatorial Theory. Series A

Volumn 90, Issue 1, 2000, Pages 224-234

  Stinson, D R ^a   Wei, R ^a   Zhu, L ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b SOOCHOW UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000589357     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1999.3036     Document Type: Article

References (13)

1. K. A. Bush, W. T. Federer, H. Pesotan and D. Raghavarao, New combinatorial designs and their application to group testing, J. Statist. Plann. and Inference 10 (1984), 335-343.
2. A. G. Dyachkov and V. V. Rykov, Bounds on the length of disjunctive codes, Problemy Peredachi Informatsii 18 (1982), 7-13. [In Russian]
3. M. Dyer, T. Fenner, A. Frieze, and A. Thomason, On key storage in secure networks, J. Cryptology 8 (1995), 189-200.
4. K. Engel, Interval packing and covering in the boolean lattice, Combin. Probab. Comput. 5 (1996), 373-384.
5. P. Erdos, P. Frankl, and Z. Füredi, Families of finite sets in which no set is covered by the union of two others, J. Combin. Theory Ser. A 33 (1982), 158-166.
6. P. Erdos, P. Frankl, and Z. Füredi, Families of finite sets in which no set is covered by the union of r others, Isreal J. Math. 51 (1985), 75-89.
7. Z. Füredi, On r-cover-free families, J. Combin. Theory Ser. A 73 (1996), 172-173.
8. F. K. Hwang and V. T. Sós, Non-adaptive hypergeometric group testing, Studio, Sci. Math. Hungar. 22 (1987), 257-263.
9. W. H. Kautz and R. C. Singleton, Nonrandom binary superimposed codes, IEEE Trans. Inform. Theory 10 (1964), 363-377.
10. C. J. Mitchell and F. C. Piper, Key storage in secure networks, Discrete Appl. Math. 21 (1988), 215-228.
11. K. A. S. Quinn, Bounds for key distribution patterns, J. Cryptology, in press.
12. M. Ruszinkó, On the upper bound of the size of the r-cover-free families, J. Combin. Theory Ser. A 66 (1994), 302-310.
13. D. R. Stinson, Tran van Trung, and R. Wei, Secure frameproof codes, key distribution patterns, group testing algorithms and related structures, J. Statist. Plann. Inference, in press.