Bhaskar Rao ternary designs and applications
نویسنده
چکیده
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 necessary conditions for the existence of Bhaskar Rao are A necessary condition for the existence of balanced with even A and block size 4t is given.
منابع مشابه
Nested balanced ternary designs and Bhaskar Rao designs
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In this paper we introduce a new construction for generalized Bhaskar Rao designs. Using this construction, we show that a generalized Bhaskar Rao design, GBRD(v, 3, A; A4) exists if and only if A == 0 (mod 12).
متن کاملBhaskar Rao designs over small groups
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)...
متن کاملBhaskar Rao designs and the groups of order 12
We complete the solution of the existence problem for generalized Bhaskar Rao designs of block size 3 over groups of order 12. In particular we prove that if G is a group of order 12 which is cyclic or dicyclic, then a generalized Bhaskar Rao design, GBRD(v, 3, λ = 12t;G) exists for all v ≥ 3 when t is even and for all v ≥ 4 when t is odd.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 3 شماره
صفحات -
تاریخ انتشار 1991