Existence of T* (3,4, υ)-codes

Journal of Combinatorial Designs

Volumn 13, Issue 1, 2005, Pages 42-53

  Wang, J ^a   Ji, L ^a  

^a SOOCHOW UNIVERSITY   (China)

Author keywords

Code; Deletion correcting; Directed design; S fan; T wise balanced design

Indexed keywords

EID: 11144248479     PISSN: 10638539     EISSN: 15206610     Source Type: Journal    
DOI: 10.1002/jcd.20031     Document Type: Article

References (21)

1. F. E. Bennett, R. Wei, J. Yin, and A. Mahmoodi, Existence of DBIBDs with block size six, Utilitas Math 43(1993), 205-217.
2. P. A. H. Bours, On the construction of perfect deletion-correcting codes using design theory, Designs Codes Cryptography 6(1995), 5-20.
3. C. J. Colbourn and M. J. Colbourn, Every twofold triple system triple system can be directed, J Combin Theory A 34(1983), 375-378.
4. H. Hanani, On quadruple systems, Canad J Math 12(1960), 145-157.
5. H. Hanani, On some tactical configurations, Canad J Math 15(1963), 702-722.
6. H. Hanani, A class of three-designs, J Combin Theory A 26(1979), 1-19.
7. A. Hartman, The fundamental constructions for 3-designs, Discrete Math 124(1994), 107-132.
8. A. Hartman and K. T. Phelps, Steiner quadruple systems, In: Contemporary Design Theory, J. H. Dinitz and D. R. Stinson (Editors), Wiley, New York, 1992. pp 205-240.
9. L. Ji, Existence of Steiner quadruple systems with a spanning block design, Discrete Math, to appear.
10. L. Ji, On the 3BD-closed set B3 ({4, 5}), Discrete Math, to appear.
11. L. Ji, On the 3BD-closed set B3 ({4, 5, 6}), J Combin Designs, 12(2004), 92-102.
12. V. I. Levenshtein, On perfect codes in deletion and insertion metric, Discrete Math Appl 2(1992), 241-258.
13. A. Mahmoodi, Combinatorial and algorithmic aspects of directed designs, Ph. D. Thesis, University of Toronto, 1996.
14. A. Mahmoodi, Existence of perfect 3-deletion-correcting codes, Designs Codes Cryptography 14(1998), 81-87. (Pubitemid 128507631)
15. W. H. Mills, On the covering of triples by quadruples, Congr Numer 10(1974), 563-581.
16. W. H. Mills, On the existence of H designs, Congr Numer 79(1990), 129-141.
17. H. Mohácsy and D. K. Ray-Chaudhuri, Candelabra systems and designs, J Statist Plann Inference 106(2002), 419-448. (Pubitemid 38354723)
18. N. Shalaby, J. Wang, and J. Yin, Existence of perfect 4-deletion-correcting codes with length six, Design Codes Cryptography 27(2002), 145-156.
19. D. J. Street and J. R. Seberry, All DBIBDs with block size four exist, Utilitas Math 18(1980), 27-34.
20. D. J. Street and W. H. Wilson, On directed balanced incomplete block designs with block size five, Utilitas Math 18(1980), 161-174.
21. J. Yin, A combinatorial construction for perfect deletion-correcting codes, Design Codes Cryptography 23(2001), 99-110. (Pubitemid 33672825)