阶为偶数的幻三元系构造方法的研究
Research on the Construction Method of the Magic Triple System with Even Order
袁文娜 1赵红涛1
作者信息
- 1. 华北电力大学数理学院,北京 102206
- 折叠
摘要
在幻三元系已有定理的基础上给出了偶数情况下的分类,进而通过可分解设计思想进行1-因子分解,并充分利用平衡不完全区组设计、可分解设计、柯克曼三元系等辅助设计构造了除α=12m-8外所有阶为偶数,k=2,λ＜α-2情况的幻三元系(α,β,λ,k)-MTS.
Abstract
On the basis of the existing theorem of the magic triple system,the classification of even-number cases is given,and then the 1-factor decomposition is carried out by resolvable design idea.(α,β,λ,k)-MTS with even order,α=12m-8,k=2,λ＜α-2 is constructed by macking full use of auxiliary design such as balanced incomplete block design,resolvable design,Kirkman triple system.
关键词
1-因子分解/可分解设计/平衡不完全区组设计/柯克曼三元系/幻三元系Key words
1-factor decomposition/resolvabledesign/balanced incomplete block design/Kirkman triple system/magic triple system引用本文复制引用
出版年
2024
NETL
NSTL
万方数据