Abstract | ||
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By an FGDRP(3, gu), we mean a uniform frame (X, G, A) of block size 3, index 2 and type gu, where the blocks of A can be arranged into a gu/3 × gu array. This array has the properties: (1) the main diagonal consists of u empty subarrays of sizes g/3 × g; (2) the blocks in each column form a partial parallel class partitioning X\G for some G ∈ G, while the blocks in each row contain every element of X\G 3 times and no element of G for some G ∈ G. The obvious necessary conditions for the existence of an FGDRP(3, gu) are u ≥ 5 and g = 0 (mod 3). In this paper. we show that these conditions are also sufficient with the possible exceptions of (g, u) ∈ {(6, 15), (9, 18), (9, 28), (9, 34), (30, 15)}. |
Year | DOI | Venue |
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2009 | null | Electr. J. Comb. |
Keywords | DocType | Volume |
null | Journal | 16 |
Issue | Citations | PageRank |
1 | 0 | 0.34 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
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Jie Yan | 1 | 28 | 3.42 |
Chengmin Wang | 2 | 44 | 8.30 |