Generalized Bhaskar Rao designs with block size three
نویسندگان
چکیده
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 size three, Journal of Statistical Planning and Inference, 11, 1985, 373-380. This journal article is available at Research Online: http://ro.uow.edu.au/infopapers/1016 Journal of Statistical Planning and Inference 11 (1985) 373-379 North-Holland 373 GENERALIZED BHASKAR RAO DESIGNS OF BLOCK SIZE THREE ] ennifer SEBERR Y Depanment of Computer Science, University oj Sydney, N.S. W. 2006, A usrralia Received 4 May 1982; revised man\l~\.Tipt r~'Ccived 2 April 1984 Recommended by N.M. Singhi Ab~tracl: We show that the necc.~~ary conditions ,1.",0 (mod IGI), A(u-l)"'0(mod2), 1)~[0 (mod 6) AU(u 0 (mod 24) for IGI odd, for IGI even, are sufficient for the exi,tenee of a generalized Bhaskar Rao de,ign GBRD(l!, b, r, 3, l;G) for the elementary abelian group G, of each order IGI. AMS Subject Classifications: Primary 05B99: Secondary, 05B05, 05B30, 62KlO.
منابع مشابه
Bhaskar 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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تاریخ انتشار 2014