Improved linear programming bound on sizes of doubly constant-weight codes

Phan Thanh Toan; Kim Hyun Kwang; Kim Jaeseon

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Improved linear programming bound on sizes of doubly constant-weight codes

机译：改进的线性规划，适用于双重恒权码的大小

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摘要

In this paper we give new constraints on the distance distribution of doubly constant-weight (binary) codes. These constraints improve the linear programming bound on sizes of doubly constant-weight codes. Computations are done for all codes of length n = 28 and all improved upper bounds are shown. We moreover show that the improved upper bounds give rise to further new upper bounds. (C) 2018 Elsevier Inc. All rights reserved.

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来源
《Finite fields and their applications》 |2018年第11期|230-252|共23页
作者
Phan Thanh Toan; Kim Hyun Kwang; Kim Jaeseon;
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作者单位

Ton Duc Thang Univ, Fac Math & Stat, Fract Calculus Optimizat & Algebra Res Grp, Ho Chi Minh City, Vietnam;

Pohang Univ Sci & Technol, Dept Math, Pohang 37673, South Korea;

Pohang Univ Sci & Technol, Dept Math, Pohang 37673, South Korea;

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原文格式 PDF
正文语种 eng
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关键词
Binary code; Doubly constant-weight code; Linear programming; Upper bound;

机译：二进制代码;双重恒量代码;线性编程;上限;

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专利

1. Delsarte's Linear Programming Bound for Constant-Weight Codes [J] . Kang B. G., Kim H. K., Toan P. T. Information Theory, IEEE Transactions on . 2012,第9期

机译：Delsarte的恒定重量代码线性编程界限
2. Linear programming bounds for doubly-even self-dual codes [J] . Krasikov I., Litsyn S. IEEE Transactions on Information Theory . 1997,第4期

机译：双偶对偶代码的线性规划边界
3. Semidefinite Programming Bounds for Constant-Weight Codes [J] . Sven C. Polak IEEE Transactions on Information Theory . 2019,第1期

机译：等重编码的半定界
4. Linear programming upper bounds on permutation code sizes from coherent configurations related to the Kendall-tau distance metric [C] . Lim Fabian, Hagiwara Manabu 2012 IEEE International Symposium on Information Theory Proceedings . 2012

机译：与Kendall-tau距离度量相关的相干配置中置换代码大小的线性编程上限
5. Bounds on the size of codes. [D] . Purkayastha, Punarbasu. 2010

机译：代码大小的界线。
6. On the linear programming bound for linear Lee codes [O] . Helena Astola, Ioan Tabus -1

机译：关于线性Lee码的线性规划界
7. Linear programming bounds for doubly-even self-dual codes [O] . Krasikov, I 1997

机译：双偶对偶代码的线性规划边界

Improved linear programming bound on sizes of doubly constant-weight codes

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