(22, 33, 12, 8, 4)-BIBD, an Update

G. H. J. van Rees ()
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G. H. J. van Rees: University of Manitoba, Department of Computer Science

Chapter Chapter 11 in Computational and Constructive Design Theory, 1996, pp 337-357 from Springer

Abstract: Abstract A (v, b,r, k, λ)-balanced incomplete block design is a family of b sets (called blocks) of size k whose elements (varieties) are from a v-set, v > k, such that every element occurs exactly r times and every pair exactly λ times. A (22, 33, 12, 8, 4)-BIBD is the set of parameters with the smallest v for which it is not known whether a BIBD exists or not. A survey of what is known about such a design is given.

Keywords: Automorphism Group; Element Orbit; Incidence Matrix; Dual Code; Steiner Triple System (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-1-4757-2497-4_11

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