# BICYCLIC BSEC OF BLOCK SIZE 3

Cho, Chung-Je

• Published : 2005.07.01
• 52 7

#### Abstract

A k-sized balanced sampling plan excluding contiguous units of order v and index denoted by $BSEC(v,\;k,\;{\lambda})$, is said to be bicyclic if it admits an automorphism consisting of two disjoint cycles of length ~. In this paper, we obtain a necessary and sufficient condition for the existence of bicyclic BSEC(v, 3, 2)s.

#### Keywords

balanced sampling plans excluding contiguous units;automorphism

#### References

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2. R. Peltesohn, Eine Losunq der beiden Heffterschen Differenzenprobleme, Compos. Math. 6 (1939), 251-257
3. R. Wei, Cyclic BSEC of block size 3, Discrete Math. 250 (2002), 291-298 https://doi.org/10.1016/S0012-365X(01)00429-0

#### Cited by

1. Bicyclic BSECs of block size 3 and any λ vol.313, pp.15, 2013, https://doi.org/10.1016/j.disc.2013.04.002