Two series of equitable symbol weight codes meeting the Plotkin bound

Peipei Dai; Jianmin Wang; Jianxing Yin

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Two series of equitable symbol weight codes meeting the Plotkin bound

机译：满足Plotkin边界的两个等效符号权重代码系列

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A q-ary code of length n is termed an equitable symbol weight code, if each symbol appears among the coordinates of every codeword either 「n/q」 or「n/q」 times. This class of codes was proposed recently by Chee et al. in order to more precisely capture a code's performance against permanent narrowband noise in power line communication. In this paper, two series of new equitable symbol weight codes of optimal sizes meeting the Plotkin bound are constructed via combinatorial designs.

机译：如果每个符号出现在每个代码字的坐标中“ n / q”或“ n / q”次，则长度为n的q元代码称为等效符号权重代码。这类代码是最近由Chee等人提出的。为了更精确地捕获代码的性能，以抵抗电力线通信中的永久性窄带噪声。在本文中，通过组合设计构造了两个新的等价符号权重代码，它们的最佳大小满足Plotkin界线。

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来源
《Designs, Codes and Crytography》 |2015年第1期|15-29|共15页
作者
Peipei Dai; Jianmin Wang; Jianxing Yin;
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作者单位

Department of Mathematics, Soochow University, Suzhou 215006, People's Republic of China;

Department of Mathematics, Soochow University, Suzhou 215006, People's Republic of China;

Department of Mathematics, Soochow University, Suzhou 215006, People's Republic of China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Equitable symbol weight codes; Optimality; Designs;

机译：公平的符号权重码;最优性设计图;

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专利

1. Generalized Balanced Tournament Packings and Optimal Equitable Symbol Weight Codes for Power Line Communications [J] . Chee Y. M., Kiah H. M., Ling A. C. H., Journal of combinatorial designs . 2015,第3a4期

机译：电力线通信的通用平衡比赛包装和最佳等效符号重量代码
2. Characterization results on arbitrary non-weighted minihypers and on linear codes meeting the Griesmer bound [J] . J. De Beule, K. Metsch, L. Storme Designs, Codes and Crytography . 2008,第1a3期

机译：任意非加权超混合和符合Griesmer界线的线性码的表征结果
3. The characterization of binary constant weight codes meeting the bound of Fu and Shen [J] . Fang-Wei Fu, Shu-Tao Xia Designs, Codes and Crytography . 2007,第1期

机译：满足Fu和Shen界的二进制等重码的刻画。
4. Equidistant codes meeting the Plotkin bound are Not optimal on the binary symmetric channel [C] . Chen Po-Ning, Lin Hsuan-Yin, Moser Stefan M. IEEE International Symposium on Information Theory . 2013

机译：满足Plotkin边界的等距代码在二进制对称通道上不是最佳的
5. TOPICS IN CODING THEORY: 1. THE A(,S)(N,D) PROBLEM IN THE PLOTKIN REGION. 2. NUMBER OF INFORMATION SYMBOLS IN A BCH CODE. [D] . MERKEY, PHILLIP ROY. 1986

机译：编码理论的主题：1.南瓜区的A（，S）（N，D）问题。 2. BCH代码中的信息符号数目。
6. GNSS-Based Non-Negative Absolute Ionosphere Total Electron Content its Spatial Gradients Time Derivatives and Differential Code Biases: Bounded-Variable Least-Squares and Taylor Series [O] . Yury Yasyukevich, Anna Mylnikova, Artem Vesnin 2020

机译：基于GNSS的非阴性绝对电离层总电子含量其空间梯度时间衍生物和差分码偏差：有界可变最小二乘和泰勒系列
7. Upper bounds for constant weight and Lee codes slightly outside the plotkin range [O] . Tarnanen Hannu 1987

机译：恒重的上限和Lee码略高于积金范围

Two series of equitable symbol weight codes meeting the Plotkin bound

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