Cyclic BSEC of block size 3

Authors:
R. Wei
Affiliations:
Department of Computer Science, Lakehead University, Thunder Bay, Ont, P7B 5El Canada
Venue:
Discrete Mathematics
Year:
2002

Citing 1
Cited 1

Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)

Handbook of Combinatorial Designs, Second Edition (Discrete Mathematics and Its Applications)

Cyclic block designs with block size 3 from Skolem-type sequences

Designs, Codes and Cryptography

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Abstract

Balanced sampling plans excluding contiguous units (or BSEC) were first introduced by Hedayat, Rao and Stufken in 1988. In this note, we discuss constructions of these designs having cyclic automorphisms. We use Langford sequences to construct all possible cyclic BSEC (or CBSEC) with block size 3 and λ = 1,2, which establishes the necessary and sufficient conditions for such designs. Some constructions of the balanced sampling plan avoiding adjacent units, a generalization of BSEC, are also given for fixed λ.