Ring constructions and algorithms for enhancing performance of BCH codes

BCH码形成了现代通信系统中使用的一大类代码。本项目的目的是通过将这类代码组合在能够纠正删除和插入错误的构造中来提高这类代码的效率，并开发结合软判决方法的编码和解码算法的有效实现以增强纠错。该项目的意义在于快速、安全和可靠的通信在现代信息和通信技术中的作用。预期结果包括可用于符号计算系统的新的高效算法和商业模块，这些系统在电信行业中有应用。

BCH codes form a major class of codes used in modern communication systems. The aim of this project is to enhance the efficiency of this class of codes by combining them in constructions enabling correction of deletion and insertion errors, and develop efficient implementations of encoding and decoding algorithms incorporating soft decision methods for enhanced error correction. Significance of the project is explained by the role of fast, secure and reliable communications in modern information and communication technology. Expected outcomes include new efficient algorithms and commercial modules available for symbolic computation systems with applications in telecommunications industry.