Some Pairwise Additive Cyclic Bib Designs

STATISTICS AND APPLICATIONS（2013）

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摘要

The existence of additive balanced incomplete block (BIB) designs and pairwise additive BIB designs with lambda = 1 has been discussed through direct and recursive constructions in Matsubara et al. (2006, 2013, 2014) and Sawa et al. (2007). In this paper, cyclic designs are considered and then the existence of pairwise additive cyclic BIB designs is investigated for lambda =1.

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关键词

Incidence matrix, BIB design, Additive cyclic BIB design, Pairwise additive cyclic BIB design, Nested BIB design, Perpendicular array, Cyclic difference matrix, Cyclic relative difference family

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