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Virtually balanced incomplete block designs for v = 22, k = 8, and λ = 4

✍ Scribed by A. S. Hedayat; J. Stufken; W. G. Zhang


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
349 KB
Volume
3
Category
Article
ISSN
1063-8539

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✦ Synopsis


When basic necessary conditions for the existence of a balanced incomplete block design are satisfied, the design may still not exist or it may not be known whether it exists. In either case, other designs may be considered for the same parameters. In this article we introduce a class of alternative designs, which we will call virtually balanced incomplete block designs. From a statistical point of view these designs provide efficient alternatives to balanced incomplete block designs, and from a combinatorial point of view they offer challenging new questions.


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## Abstract An Erratum has been published for this article in Journal of Combinatorial Designs 14: 83–83, 2006. We enumerate a list of 594 inequivalent binary (33,16) doubly‐even self‐orthogonal codes that have no all‐zero coordinates along with their automorphism groups. It is proven that if a (2