编码理论是随着电子技术飞速发展,根据现代数字通信、自动控制、信息处理等学科的具体需要,在现代代数基础上发展形成的一门应用数学。 编码理论最初作为信息论的核心是在长期通信实践中总结发展起来的。从六十年代以来,数字通信(特别是卫星通信)的飞速发展,促进了对纠错编码和多址通信等技术的研究,进一步发展了编码理论;在自动控制领域,由于以电子计算机为中心的大型企 Coding theory is with the rapid development of electronic technology, according to the modern digital communications, automatic control, information processing and other disciplines of the specific needs of the development of modern algebra based on the formation of an applied mathematics. Coding theory was originally developed as the core of information theory in the long-term communication practice. Since the 1960s, the rapid development of digital communications (especially satellite communications) has promoted the research on error correction coding and multiple access communication technologies and further developed the coding theory. In the field of automatic control, as the center of electronic computers Large-scale enterprises