The spectrum of semicyclic holey group divisible designs with block size three

被引：4

作者：

Wang, Lidong ^{[1
]}

Feng, Tao ^{[2
]}

Pan, Rong ^{[3
]}

Wang, Xiaomiao ^{[4
]}

机构：

[1] China Peoples Police Univ, Dept Basic Courses, Langfang, Peoples R China

[2] Beijing Jiaotong Univ, Dept Math, Beijing, Peoples R China

[3] Yunnan Univ, Dept Math, Kunming 650504, Yunnan, Peoples R China

[4] Ningbo Univ, Sch Math & Stat, Ningbo, Zhejiang, Peoples R China

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2020年 / 28卷 / 01期

基金：

中国国家自然科学基金;

关键词：

double group divisible design; holey group divisible design; incomplete; semicyclic; OPTICAL ORTHOGONAL CODES; COMBINATORIAL CONSTRUCTIONS; HGDDS;

D O I：

10.1002/jcd.21680

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine a necessary and sufficient condition for the existence of semicyclic holey group divisible designs with block size three and group type (n,mt). New recursive constructions on semicyclic incomplete holey group divisible designs are introduced to settle this problem completely.

引用

页码：49 / 74

页数：26

共 22 条

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Feng, Tao
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DESIGNS CODES AND CRYPTOGRAPHY, 2015, 74 (02) : 301 - 324
[2] Semi-cyclic holey group divisible designs with block size three
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Designs, Codes and Cryptography, 2015, 74 : 301 - 324
[3] Group divisible covering designs with block size four
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[4] Two-Dimensional Optical Orthogonal Codes and Semicyclic Group Divisible Designs
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[6] Group divisible designs with block size 4 and type gum1
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[7] Group divisible designs with block size four and type gum1-II
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[8] w-cyclic holey group divisible designs and their application to three-dimensional optical orthogonal codes
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[9] Group divisible designs with block size four and group type gum1
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[10] Group divisible designs with block size four and type gum1-III
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