DECOMPOSITIONS OF EDGE-COLORED DIGRAPHS: A NEW TECHNIQUE IN THE CONSTRUCTION OF CONSTANT-WEIGHT CODES AND RELATED FAMILIES

Chee Yeow Meng; Gao Fei; Kiah Han Mao; Ling Alan Chi Hung; Zhang Hui; Zhang Xiande

首页> 外文期刊>SIAM Journal on Discrete Mathematics >DECOMPOSITIONS OF EDGE-COLORED DIGRAPHS: A NEW TECHNIQUE IN THE CONSTRUCTION OF CONSTANT-WEIGHT CODES AND RELATED FAMILIES

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DECOMPOSITIONS OF EDGE-COLORED DIGRAPHS: A NEW TECHNIQUE IN THE CONSTRUCTION OF CONSTANT-WEIGHT CODES AND RELATED FAMILIES

机译：边缘上色数字的分解：一种新技术在构建恒重基和相关家族

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摘要

We demonstrate that certain Johnson-type bounds are asymptotically exact for a variety of classes of codes, namely, constant-composition codes, nonbinary constant-weight codes, group divisible codes, and multiply constant-weight codes. We achieve this via an application of the theory of decomposition of edge-colored digraphs.

机译：我们展示某些约翰逊类型的界限对于各种代码，即常数组成代码，非加值恒重代码，组可分地代码和乘法恒重代码是渐近的准则。我们通过应用边缘上色数字分解理论来实现这一目标。

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来源
《SIAM Journal on Discrete Mathematics》 |2019年第1期|209-229|共21页
作者
Chee Yeow Meng; Gao Fei; Kiah Han Mao; Ling Alan Chi Hung; Zhang Hui; Zhang Xiande;
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作者单位

Nanyang Technol Univ Sch Phys & Math Sci Singapore 637371 Singapore;

Agcy Sci Technol & Res Inst High Performance Comp Singapore 138632 Singapore;

Nanyang Technol Univ Sch Phys & Math Sci Singapore 637371 Singapore;

Univ Vermont Dept Comp Sci Burlington VT 05405 USA;

Nanyang Technol Univ Sch Phys & Math Sci Singapore 637371 Singapore;

Univ Sci & Technol China Sch Math Sci Hefei 230000 Anhui Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
edge-colored digraphs; constant-weight codes; constant-composition codes; multiply constant-weight codes;

机译：边缘彩色的正面;恒重代码;常数组成代码;乘法常量代码;

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1. DECOMPOSITIONS OF EDGE-COLORED DIGRAPHS: A NEW TECHNIQUE IN THE CONSTRUCTION OF CONSTANT-WEIGHT CODES AND RELATED FAMILIES [J] . Chee Yeow Meng, Gao Fei, Kiah Han Mao, SIAM Journal on Discrete Mathematics . 2019,第1期

机译：边缘着色图的分解：等重码和相关族构造的新技术
2. Constructions of binary constant-weight cyclic codes and cyclically permutable codes [J] . Nguyen Q. A, Gyorfi L. IEEE Transactions on Information Theory . 1992,第3期

机译：二进制恒权循环码和循环置换码的构造
3. Constructions of cyclic quaternary constant-weight codes of weight three and distance four [J] . Lan Liantao, Chang Yanxun, Wang Lidong Designs, Codes and Crytography . 2018,第5期

机译：权重3和距离4的循环四元恒权码的构造
4. Decompositions of edge-colored digraphs: A new technique in the construction of constant-weight codes and related families [C] . Chee, Yeow Meng, Gao, Fei, Kiah, Han Mao, Institute of Electrical and Electronics Engineers International Symposium on Information Theory . 2014

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5. Construction of structured LDPC codes based on geometry decomposition, masking and superposition. [D] . Xu, Jun. 2003

机译：基于几何分解，掩蔽和叠加的结构化LDPC码构造。
6. Q sample construction: a novel approach incorporating a Delphi technique to explore opinions about codeine dependence [O] . Melissa Kirschbaum, Tony Barnett, Merylin Cross 2019

机译：Q样本构建：结合Delphi技术探索关于可待因依赖性的观点的新颖方法
7. Decompositions of Edge-Colored Digraphs: A New Technique in the Construction of Constant-Weight Codes and Related Families [O] . Yeow Meng Chee, Fei Gao, Han Mao Kiah, 2019

机译：边缘上色数字的分解：一种新技术在构建恒重基和相关家族

DECOMPOSITIONS OF EDGE-COLORED DIGRAPHS: A NEW TECHNIQUE IN THE CONSTRUCTION OF CONSTANT-WEIGHT CODES AND RELATED FAMILIES

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