BIBDs with κ = 6 and λ = 1

W. H. Mills
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W. H. Mills: Institute for Defense Analyses

Chapter Chapter 8 in Computational and Constructive Design Theory, 1996, pp 189-226 from Springer

Abstract: Abstract Balanced incomplete block designs, or BIBDs, have been studied for many years. In a famous 115 page paper Haim Hanani completely settled the existence question for BIBDs with block size less than 6. In the same paper he settled this question for block size 6 and λ > 1. However when the block size is 6 and λ = 1 the whole question becomes much more difficult. In the present paper we discuss the work that has been done on this. There are, at present, 55 values of υ for which the existence of such a design is in doubt. We will show how the remaining values of υ are handled.

Keywords: Automorphism Group; Base Block; Large Block; Prime Power; Cube Root (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-2497-4_8

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DOI: 10.1007/978-1-4757-2497-4_8

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