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主要一类码。该项目的目的是提高这类代码的效率，通过将它们组合在能够纠正删除和插入错误的结构中，并开发有效的编码和解码算法，将软判决方法用于增强纠错。快速、安全和可靠的通信在现代信息和通信技术中的作用说明了该项目的重要性。 预期成果包括新的有效的算法和商业模块，可用于符号计算系统在电信行业的应用。

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.