4‐SCHGDD的存在条件及组合构造  

The Existence Conditions and Combinatorial Construction of 4‐SCHGDD

作　　者：李晓博 温建福 黄月梅[1,2] LI Xiaobo;WEN Jianfu;HUANG Yuemei(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China;Inner Mongolia Center for Applied Mathematics,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]内蒙古自治区应用数学中心,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2023年第5期536-543,共8页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自治区高等学校科学研究资助项目(NJZY22599,NJZY22600);内蒙古师范大学研究生科研创新基金资助项目(CXJJS21122)。

摘　　要：利用CHDM与SCHGDD等价,研究型为(n,m t)的4-SCHGDD的存在条件及应用。研究得到n=4时,型为(4,m t)的4-SCHGDD的存在条件;利用递归构造结合4-SCGDD的存在条件得出n≠4时,型为(n,m t)的4-SCHGDD的存在条件;最后应用结果得出AM-OPPSP/WP 3-D(u×v×w,4,1)-OOC存在的充分条件。The research is focused on the existence condition and the application of 4-SCHGDD of type in the paper.The existence conditions of 4-SCHGDD of type(4,mt)is obtained by applying the equivalence of CHDM to SCHGDD and the existence conditions of 4-SCHGDD of type(n,mt)forn≠4 is obtained by using the recursive construction combined with 4-SCGDD.Finally,a sufficient condition for the existence of the perfect AM-OPPSP/WP 3-D(u×v×w,4,1)-OOC is yielded by applying the results above mentioned.

关 键 词：半循环带洞可分组设计 半循环可分组设计 带洞可分组设计 递归构造 三维光正交码 

分 类 号：O157[理学—数学]