Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48161#.VEXwJFfHRK1 Author(s) Kazuki Matsubara , Sanpei Kageyama Affiliation(s) Graduate School of Science, Hiroshima University, Higashi-Hiroshima, Japan . Hiroshima Institute of Technology, Hiroshima, Japan . ABSTRACT An asymptotic existence of balanced incomplete block (BIB) designs and pairwise balanced designs (PBD) has been discussed in [1]-[3]. On the other hand, the existence of additive BIB designs and pairwise additive BIB designs with k = 2 and λ = 1 has been discussed with direct and recursive constructions in [4]-[8]. In this paper, an asymptotic existence of pairwise additive BIB designs is prove...
Scientific Research Publishing