(D_(3)(4),λ)-支架和(D_(3)(4),λ)-可分解的可分组设计的存在谱  

On the Existence of(D_(3)(4),λ)-frames and(D_(3)(4),λ)-R GDDs of Type g^(u)

作　　者：杨青 郑义 YANG Qing;ZHENG Yi(School of Mathematical Science,Huaiyin Normal University,Huaian Jiangsu 223300,China;Institute of Mathematics,Nanjing Normal University,Nanjing Jiangsu 210023,China)

机构地区：[1]淮阴师范学院数学与统计学院,江苏淮安223300 [2]南京师范大学数学科学学院,江苏南京210023

出　　处：《淮阴师范学院学报（自然科学版）》2022年第1期7-10,16,共5页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金资助项目(11701206)。

摘　　要：利用一些已知结果和递归构造法,证明了型为g^(u)的(D_(3)(4),λ)-支架和(D_(3)(4),λ)-可分解的可分组设计存在的必要条件也是充分的.对任意相遇数λ,解决了这两类设计的存在性.In this paper,we proved that the necessary conditions for the existence of(D_(3)(4),λ)-frames and(D_(3)(4),λ)-resolvable group divisible designs of type g u were also sufficient making use of some known results and above methods.For any value ofλ,the existence of these two types of design were solved.

关 键 词：G-分解 支架 可分解 可分组设计 

分 类 号：O157[理学—数学]