【摘要】 对组合设计理论中的核心设计进行推广,考虑更具一般性的可分组核心设计.利用直接构造和递归构造的方法,解决了区组为K₄-e组型一致的可分组核心设计的存在性问题,并证明对于n≥3,g≥1,型为gⁿ的（K₄-e）-可分组核心设计均存在.更多还原

【Abstract】 We extended the nuclear design of combinatorial design theory,and considered a more general group divisible nuclear design.By using the method of direct construction and recursive construction,we solved the existence problem of the group divisible nuclear design with block K₄-e and equal size group,and proved that there existed a group divisible（K₄-e）-nuclear design of type gⁿ for n≥3,g≥1.更多还原