Generalized polygonal designs with block size 3 and λ = 1
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Summary
This paper considers the construction of polygonal designs for generalized distance m with block size 3 and λ = 1 by using the method of cyclic shifts, which shows that the properties of a design can easily be obtained from the sets of shifts instead of constructing the actual blocks of the design.
- Type
- article
- Published
- 2009-09-01
- Cited by
- 12
- References
- 26
- OpenAlex
- https://openalex.org/W2001064963
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:2706156
Keywords
Mathematics, Diagonal, Block (permutation group theory), Block size, Combinatorics
References
- Partitionable sets and cyclic BSECs with block size four
- Sampling designs to control selection probabilities of contiguous units
- Theory of Optimal Designs
- IPPS Sampling Plans Excluding Adjacent Units
- Polygonal designs with blocks of size k≤10
- Two-dimensional balanced sampling plans excluding adjacent units
- Existence of balanced sampling plans avoiding cyclic distances
- A family of distance balanced sampling plans
- New balanced sampling plans excluding adjacent units
- Polygonal designs : some existence and non-existence results
- Some existence and construction results of polygonal designs
- Group testing for consecutive positives
- A class of partial triple systems with applications in survey sampling
- Sampling plans excluding contiguous units
- Existence of BSAs and cyclic BSAs of block size three
- The spectrum of cyclic BSA(ν, 3, λ; α) with α = 2, 3
- TWO-DIMENSIONAL BALANCED SAMPLING PLANS EXCLUDING CONTIGUOUS UNITS
- On a class of partially balanced incomplete block designs with applications in survey sampling
- Cyclic BSEC of block size 3
- The spectrum of BSA(v, 3, λ; α) with α = 2,3
Cited by
- Two-dimensional balanced sampling plans avoiding adjacent units
- Circular neighbor-balanced designs using cyclic shifts
- Construction of Polygonal Designs Using Linear Integer Programming
- Cyclic Polygonal Designs with Block Size 3 and λ = 1 for Joint Distance α = 6 to 16
- Generalized neighbor designs with block size 3
- Polygonal Designs with Block Size 3 and Single Distance ABSTRACT | FULL TEXT
- Cyclic Polygonal Designs with Block size 3 and Joint Distance 3
- New optimal error-correcting codes for crosstalk avoidance in on-chip data buses
- Improved asymptotically optimal error correcting codes for avoidance crosstalk type-IV on-chip data buses
- GENERALIZED ONE-DIMENSIONAL AND TWO-DIMENSIONAL NEIGHBOR DESIGNS FOR BINARY AND NON-BINARY BLOCKS
- Catalogue of Minimal Cyclic Polygonal Designs in Two Different Block Sizes 4 and 2
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