Pairwise Balanced Designs with Consecutive Block Sizes

Authors:
Alan C. H. Ling;Xiaojun Zhu;Charles J. Colbourn;Ronald C. Mullin
Affiliations:
Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1;Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1;Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1;Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Venue:
Designs, Codes and Cryptography
Year:
1997

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Abstract

This paper deals with existence for pairwise balanced designs with block sizes 5,6 and 7, block sizes6,7 and 8 and block sizes 7,8 and 9 and some consequences of these results.