Semi-cyclic Holey Group Divisible Designs and Applications to Sampling Designs and Optical Orthogonal Codes

被引：8

作者：

Feng, Tao ^{[1
]}

Wang, Xiaomiao ^{[2
]}

Wei, Ruizhong ^{[3
]}

机构：

[1] Beijing Jiaotong Univ, Inst Math, Beijing 100044, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

[3] Lakehead Univ, Dept Comp Sci, Thunder Bay, ON P7B 5E1, Canada

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2016年 / 24卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

holey group divisible design; semi-cyclic; two-dimensional balanced sampling plan; two-dimensional optical orthogonal code; BLOCK SIZE 4; EXCLUDING CONTIGUOUS UNITS; NETWORKS; SPECTRUM; SYSTEMS; HGDDS;

D O I：

10.1002/jcd.21417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the existence problem for a semi-cyclic holey group divisible design of type (n,mt) with block size 3, which is denoted by a 3-SCHGDD of type (n,mt). When t is odd and n8 or t is doubly even and t8, the existence problem is completely solved; when t is singly even, many infinite families are obtained. Applications of our results to two-dimensional balanced sampling plans and optimal two-dimensional optical orthogonal codes are also discussed.

引用

页码：201 / 222

页数：22

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