摘要
纠错编码是保证通信可靠性的重要手段.本文首先介绍了纠错编码的基本概念和主要数学问题,然后基于线性代数、抽象代数的理论与方法,讨论了两类常见的纠错编码——线性码、循环码.
Error-correcting code is an important means of ensuring the reliability of communication.The fundamental conceptions and primary mathematical problems of Error-correcting code are initially presented.Then based on the theory and methods of linear algebra and abstract algebra,two types of the familiar error-correcting code,linear code and cyclic code,are further discussed.
出处
《大学数学》
2015年第1期7-13,共7页
College Mathematics
基金
国防科技大学研究生数学公共课一流课程体系建设项目
关键词
纠错编码
线性代数
抽象代数
线性码
循环码
error-correcting code
linear algebra
abstract algebra
linear code
cyclic code
