On the (v,5,λ)-family of Bhaskar Rao designs
نویسندگان
چکیده
منابع مشابه
On the (v,5, )-Family of Bhaskar Rao Designs
We establish that the necessary conditions for the existence of Bhaskar Rao designs of block size ve are : i). (v 1) 0 (mod 4) ii). v(v 1) 0 (mod 40) iii). 2j. We show these conditions are suucient: for = 4 if v > 215, with 10 smaller possible exceptions and one deenite exception at v = 5; for = 10 if v > 445, with 11 smaller possible exceptions, and one deenite exception at v = 5; and for = 20...
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Generalized Bhaskar Rao n-ary are defined. This paper studies with elements from abelian groups of Generalized Bhaskar Rao nary called Bhaskar Rao Bhaskar Rao a v b matrix of ±1 and such that the inner product of any two rows 0 and the matrix obtained of X by its absolute value the incidence matrix of the construction of infinite families of Balanced Balanced are Some construction methods and n...
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We show that for each of the groups S3, D4, Q4, Z4 x Z2 and D6 the necessary conditions are sufficient for the existence of a generalized Bhaskar Rao design. That is, we show that: (i) a GBRD (v, 3, λ; S3) exists if and only if λ ≡ O (mod 6 ) and λv(v 1) ≡ O(mod 24); (ii) if G is one of the groups D4, Q4, and Z4 x Z2, a GBRD (v, 3, λ; G) exists if and only if λ ≡ O(mod 8) and λv(v 1) ≡ O(mod 6)...
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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. Disciplines Physical Sciences and Mathematics Publication Details de Launey, W and Seberry, J, On Bhaskar Rao designs of block size four, Combinatorics and Applications, Proceedings of the Seminar on Combinatorics and its Applications in honour of Professor ...
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In this paper, we consider balanced ternary designs, BTDs, in which every block contains one element singly and the rest doubly. We call these packed BTDs, and we investigate three aspects of these designs: existence, nestings and signings. Construction methods generate classes of packed BTDs that are nested with balanced (BIBD) or partially balanced (PBIBD) incomplete block designs. Some of th...
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ژورنال
عنوان ژورنال: Journal of Statistical Planning and Inference
سال: 2002
ISSN: 0378-3758
DOI: 10.1016/s0378-3758(02)00220-3