Splitting Balanced Incomplete Block Designs with Block Size 2×k上海交通大学学报：英文版论文
【题名】：Splitting Balanced Incomplete Block Designs with Block Size 2×k上海交通大学学报：英文版论文(Splitting Balanced Incomplete Block Designs with Block Size 2×kShangHaiJiaoTongDaXueXueBao：YingWenBanLunWen) 【关键词】：BIBD 块大小 块设计 必要条件 分割 【keywords】：BIBD KuaiDaXiao KuaiSheJi BiYaoTiaoJian FenGe 【作者】：沈军      【来源】： 知识词典 【期刊名称】：上海交通大学学报：英文版(ShangHaiJiaoTongDaXueXueBao：YingWenBan) 【国际标准刊号】：1007-1172        【国内统一刊号】：31-1716 【作者单位】：Dept.ofMathematics,ShanghaiJiaotongUniv.,Shanghai200030,China(Dept.ofMathematics,ShanghaiJiaotongUniv.,Shanghai200030,China) 【分类号】：TG48      【页码】：-103-106      【出版年】：2005.1 【下载地址】：下载pdf全文         This paper investigated the existence of splitting balanced incomplete block designs with hick size 2×k.The necessary conditions for such a design are λ(ν-1 )≡(mod k),and λν(v-1 )≡0(mod 2k^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.
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