Packings with block size five and index one: v ≡ 2 (mod 4)

Ars Combinatoria

Volumn 63, Issue , 2002, Pages 223-233

  Ling, Alan C H ^a  

^a University of Vermont ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142138257     PISSN: 03817032     EISSN: 28175204     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. R.J.R. Abel, A.E. Brouwer, C.J. Colbourn, and J.H. Dinitz, Mutually orthogonal Latin squares, in: CRC Handbook of Combinatorial Designs (C.J. Colbourn, J.H. Dinitz; eds.), CRC Press, 1996, pp. 111-142.
2. R.J.R. Abel and A.C.H. Ling, Some New Direct Constructions for (v, {5, w*}, 1) PBDs, to appear in Journal of Combin. Math. and Combin. Comput.
3. M.R. Best, A.E. Brouwer, F.J. MacWilliams, A.M. Odlyzko, N.J.A. Sloane, Bounds for binary codes of length less than 25, IEEE Trans. Inform. Theory 24 (1978) 81-93.
4. T. Beth, D. Jungnickel and H. Lenz, Design Theory, Cambridge University Press, Cambridge, England, (1986).
5. n, J. Combin. Theory A 26 (1979) 278-297.
6. H. Hanani, Balanced incomplete block designs and related designs, Discrete Math. 11 (1975) 225-281.
7. S.M. Johnson, A new upper bound for error-correcting codes, IEEE Trans. Inform. Theory 8 (1962) 203-207.
8. R.C. Mullin and H-D.O.F. Gronau, PBDs: Recursive Constructions, in: CRC Handbook of Combinatorial Designs (C.J. Colbourn and J.H. Dinitz, eds.), CRC Press, 1996, pp. 193-203.
9. J. Schoenheim, On maximal systems of k-tuples, Studia Sci. Math. Hungar. 1 (1966) 363-368.
10. H. Shen, On the existence of nearly Kirkman systems, Invited Talk, Combinatorics 90, Italy.
11. R.M. Wilson, Constructions and uses of pairwise balanced designs, Math. Centre Tracts 55 (1974), 18-41.
12. J. Yin, A.C.H. Ling, C.J. Colbourn and R.J.R. Abel, The existence of uniform 5-GDDs, J. Combin. Designs 5, 275-299, 1997.