منابع مشابه
The spectrum of cyclic BSEC with block size three
Balanced sampling plans excluding contiguous units (or BSEC) were first introduced by Hedayat, Rao and Stufken in 1988. In this paper, we discuss these designs having cyclic automorphisms. We use Langford sequence to construct all admissible cyclic BSEC (or CBSEC) of block size 3. As consequent we obtain that the existence spectrum of a CBSEC(v, 3, ) are either v ∈ {1, 3}, or v 9 and (v − 3) ≡ ...
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A group divisible design is resolvable if there exists a partition n = {P,, Pz, . .} of p such that each part Pi is itself a partition of X. In this paper we investigate the existence of resolvable group divisible designs with K = {3}, M a singleton set, and all A. The case where M = { 1) has been solved by Ray-Chaudhuri and Wilson for I = 1, and by Hanani for all h > 1. The case where M is a s...
متن کاملSuper-simple balanced incomplete block designs with block size 5 and index 3
In statistical planning of experiments, super-simple designs are the ones providing samples with maximum intersection as small as possible. Super-simple designs are also useful in constructing codes and designs such as superimposed codes and perfect hash families. The existence of super-simple (v, 4, λ)BIBDs have been determined for λ = 2, 3, 4, 5, 6. In this paper, we investigate the existence...
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B) is said to have the Size Four property if the blocks in B can be partitioned into two isomorphic sets. In this paper we construct block with four with the property, thus the exception of 6 A. Rosa [4]).
متن کاملCyclic Polygonal Designs with Block size 3 and Joint Distance 3
Polygonal designs, a class of partially balanced incomplete block designs with regular polygons, are useful in survey sampling in terms of balanced sampling plans excluding contiguous units (BSECs) and balanced sampling plans excluding adjacent units (BSAs) when neighboring units in a population provide similar information. In this paper, the method of cyclic shifts is used and cyclic polygonal...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2005
ISSN: 1225-1763
DOI: 10.4134/ckms.2005.20.3.603