منابع مشابه
Partial generalized Bhaskar Rao designs over abelian groups
Let G = EA(g) of order g be the abelian group ZPl X ZPl X . .. X ZPl X ... X ZPn X ZPn X ... X ZPII n whereZpi occurs ri times with IT pp the prime decomposition of g. i = 1 It is shown that the necessary conditions A==O(modg) v?:: 3n v == 0 (mod n) A(V n) == 0 (mod 2) v v n 0 (mod 24) if g is even, A ( _ ) = (0 (mod 6) if g is odd, are sufficient for the existence of a PGBRD(v, 3, A, n; EA(g)).
متن کاملGeneralized Bhaskar Rao designs with two association classes
In previous work generalized Bhaskar Rao designs whose underlying design is a b~lanced incomplete block design have been considered. In the first section of this paper generalized Bhaskar Rao designs (with 2 association classes) whose underlying design is a group divisible design are defin~d. Some methods for the construction of these designs are developed in the second section. It is shown tha...
متن کاملA composition theorem for generalized Bhaskar Rao designs
Let H be a normal subgroup of a finite group G. We show that: If a GBRD(v, k, A.; G IH) exists and a GBRD(k,j, JA.; H) exists then a GBRD(v,j, AJA.; G) exists. We apply this result to show that: i) If k does not exceed the least prime factor of IG I, then a GBRD(k, k, A; G) exists for all A EO (mod IG I); ii) If G is of order IG Ie lor 5 (mod 6) then a GBRD(v, 3, A = t IG I; G), v>3, exists if ...
متن کاملGeneralized Bhaskar Rao designs with block size three
We show that the necessary conditions λ = 0 (mod IGI), λ(v-l)=0 (mod2), λv(v 1) = [0 (mod 6) for IGI odd, (0 (mod 24) for IGI even, are sufficient for the existence of a generalized Bhaskar Rao design GBRD(v,b,r,3,λ;G) for the elementary abelian group G, of each order IGI. Disciplines Physical Sciences and Mathematics Publication Details Seberry, J, Generalized Bhaskar Rao designs with block si...
متن کاملBhaskar Rao ternary designs and applications
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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ژورنال
عنوان ژورنال: Journal of Statistical Planning and Inference
سال: 1984
ISSN: 0378-3758
DOI: 10.1016/0378-3758(84)90034-x