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Articles 1 - 6 of 6
Full-Text Articles in Physical Sciences and Mathematics
Regular Group Divisible Designs And Bhaskar Rao Designs With Block Size Three, Jennifer Seberry
Regular Group Divisible Designs And Bhaskar Rao Designs With Block Size Three, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
Some recursive constructions are given for Bhaskar Rao designs. Using examples of these designs found by Shyam J. Singh, Rakesh Vyas and new ones given here we show the necessary conditions λ = 0 (mod 2), λv(v-1) = 0 (mod 24) are sufficient for the existence of Bhaskar Rao designs with one association class and block size 3. This result is used with a result of Street and Rodger to obtain regular partially balanced block designs with 2v treatments, block size 3, λ,-0, group size 2 and v groups.
Maximal Ternary Codes And Plotkin's Bound, Conrad Mackenzie, Jennifer Seberry
Maximal Ternary Codes And Plotkin's Bound, Conrad Mackenzie, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
The analogue of Plotkin's bound is developed for ternary codes with high distance relative to length. Generalized Hadamard matrices are used to obtain codes which meet these bounds. The ternary analogue of Levenshtein's construction is discussed and maximal codes constructed.
On Bhaskar Rao Designs Of Block Size Four, Warwick De Launey, Jennifer Seberry
On Bhaskar Rao Designs Of Block Size Four, Warwick De Launey, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
We show that Bhaskar Rao designs of type BRD(v, b, r, 4, 6) exist for v = 0,1 (mod 5) and of type BRD (v, b, r, 4,12) exist for all v ≥ 4.
Generalized Bhaskar Rao Designs, Clement Lam, Jennifer Seberry
Generalized Bhaskar Rao Designs, Clement Lam, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
Generalized Bhaskar Rao designs with non-zero elements from an abelian group G are constructed. In particular this paper shows that the necessary conditions are sufficient for the existence of generalized Bhaskar Rao designs with k=3 for the following groups: │G│ is odd, G=Zr2, and G=Zr2 X H where 3+│H│ and r ≥ l. It also constructs generalized Bhaskar Rao designs with v=k, which is equivalent to v rows of a generalized Hadamard matrix of order n where v ≤ n.
The Directed Packing Numbers Dd(T, V ,V), T ≥ 4, J E. Dawson, Jennifer Seberry, D B. Skillicorn
The Directed Packing Numbers Dd(T, V ,V), T ≥ 4, J E. Dawson, Jennifer Seberry, D B. Skillicorn
Faculty of Informatics - Papers (Archive)
A directed packing is a maximal collection of k-subsets, called blocks, of a set of cardinality v having the property that no ordered t-subset occurs in more than one block. A block contains an ordered t-set if its symbols appear, left to right, in the block. The cardinality of such a maximal collection is denoted by DD(t, k, v). We consider the special case when k=v and derive some results on the sizes of maximal collections.
Sunspot And Mn Tidal Effects On Stanwell Park, Nsw, Beach Change, 1895-1980, Edward A. Bryant
Sunspot And Mn Tidal Effects On Stanwell Park, Nsw, Beach Change, 1895-1980, Edward A. Bryant
Faculty of Science - Papers (Archive)
Beach change on Stanwell Park beach has been linked to sea-level fluctuations and annual rainfall such that a 1-cm rise in sea-level and a 100-mm increase in rainfall results respectively in 0.45m and 0.8m of beach retreat. Both variables are related to the Southern Oscillation, which has worldwide climatic teleconnections. Research in NSW and elsewhere indicates that the 11- and 22-year sunspot cycles and 18.6-year MN lunar cycle may affect some sea-level and rainfall records. None of these astronomical variables was found to relate to beach retreat at Stanwell Park more than any of the meteorological or oceanographic variables.