Splitting Balanced Incomplete Block Designs with Block Size 2×k  

作　　者：沈军 

机构地区：[1]Dept.of Mathematics,Shanghai Jiaotong Univ.,Shanghai 200030,China

出　　处：《Journal of Shanghai Jiaotong university(Science)》2005年第1期103-106,共4页上海交通大学学报（英文版）

基　　金：National Natural Science Foundation ofChina(No.10 4710 93)

摘　　要：This paper investigated the existence of splitting balanced incomplete block designs with blck size 2× k .The necessary conditions for such a design are λ(v-1) ≡0(mod k ),and λv(v- 1)≡0(mod 2 k 2).It will show that the above necessary conditions are also sufficient for k =3 with the definite exception( v,λ )=(10,1) and with several possible exceptions.This paper investigated the existence of splitting balanced incomplete block designs with blck size 2× k .The necessary conditions for such a design are λ(v-1) ≡0(mod k ),and λv(v- 1)≡0(mod 2 k 2).It will show that the above necessary conditions are also sufficient for k =3 with the definite exception( v,λ )=(10,1) and with several possible exceptions.

关 键 词：balanced incomplete block designs(BIBD) splitting BIBD 

分 类 号：TG48[金属学及工艺—焊接]