On the Maximum Number of Codewords of Binary Constant Weight Codes

XIA Shu-tao

您当前的位置：

首页 >

文章列表页 >

On the Maximum Number of Codewords of Binary Constant Weight Codes

更新时间：2025-07-16

- On the Maximum Number of Codewords of Binary Constant Weight Codes
- Acta Electronica Sinica Vol. 34, Issue 9, Pages: 1613-1615(2006)
- 作者机构：
  
  1. 清华大学深圳研究生院,广东,深圳,518055
  2. 清华大学深圳研究生院广东深圳,518055
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.2
- Published Online：25 September 2006，
  
  Published：2006
- 稿件说明：
移动端阅览
XIA Shu-tao. On the Maximum Number of Codewords of Binary Constant Weight Codes[J]. Acta Electronica Sinica, 2006, 34(9): 1613-1615.
DOI：

XIA Shu-tao. On the Maximum Number of Codewords of Binary Constant Weight Codes[J]. Acta Electronica Sinica, 2006, 34(9): 1613-1615. DOI：

摘要

本文利用Johnson Schemes理论研究了二元等重码及其最大码字数问题.在Delsarte的associate schemes理论中

Q-变换被引入以研究二元等重码的距离分布.首先

本文研究了等重码距离分布的Q-变换;然后

通过使用Q-变换的性质

我们研究了二元等重码的最大码字数问题并得到码字数的一个新的上界

该上界在形式上类似于纠错码理论中的Grey-Rankin界

并且在某些情况下优于已知的结果.

Abstract

The problems of maximum number of codewords for binary constant weight codes are studied by employing the theory of Johnson Schemes.In Delsarte's association schemes theory

Q-transform were introduced to study the distance distributions of binary constant weight codes.First

we study the Q-transforms of distance distributions of binary constant weight codes. Then

by using the properties of Q-transforms

we obtain a new upper bound of number of codewords for binary constant weight codes.This bound is similar to Grey-Rankin bound in error-correcting codes theory in form and improves previously known results in certain cases.

关键词

Keywords

references

Views

667

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Bounds of Undetected Error Probability for Binary Constant Weight Codes

Torsion Codes of a Class of Constacyclic Codes over Z_2^m and Their Applications

Related Author

XIA Shu-tao

JIANG Yong

ZHU Shi-xin

SUN Zhong-hua

KAI Xiao-shan

朱士信

孙中华

开晓山

Related Institution

Graduate School at Shenzhen, Tsinghua University

School of Mathematics, Hefei University of Technology

National Mobile Communications Research Laboratory,Southeast University

School of Mathematics Hefei University of Technology Hefei Anhui China

National Mobile Communications Research Laboratory Southeast University Nanjing Jiangsu China

⁰