(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)

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.