The spectrum of cyclic BSA(ν, 3, λ; α) with α = 2, 3 | Zendy

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The spectrum of cyclic BSA(ν, 3, λ; α) with α = 2, 3

Author(s) -

Zhang Jing,

Chang Yanxun

Publication year - 2005

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.20049

Subject(s) - mathematics , combinatorics , sampling (signal processing) , selection (genetic algorithm) , construct (python library) , computer science , telecommunications , artificial intelligence , detector , programming language

Balanced sampling plans excluding contiguous units (or BSEC) were first introduced by Hedayat, Rao, and Stufken in 1988. In this paper, we generalize the concept of a cyclic BSEC to a cyclic balanced sampling plan to avoid the selection of adjacent units (or CBSA for short) and use Langford and extended Langford sequences to construct a cyclic BSA(ν, 3, λ; α) with α = 2, 3. We finally establish the necessary and sufficient conditions for the existence of a cyclic BSA(ν, 3, λ; α) where α = 2, 3. © 2005 Wiley Periodicals, Inc. J Combin Designs.

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