循环码的系统码计算方法研究

Research on Systematic Encoding Computational Methods for Cyclic Codes

摘要: 本文研究了循环码的系统码计算方法，提出一种新型的循环码系统码计算方法——线性变换法，与传统的公式推导法和多项式模N运算法相比，该方法不仅简化了计算过程，还在精确性和计算效率上表现出显著的优越性，具有一定的实际应用价值。

Abstract: ^*通讯作者。This paper investigates the systematic encoding computational methods for cyclic codes, proposing a novel approach termed the Linear Transformation Method for the systematic encoding computation of cyclic codes. Compared to traditional methods such as the formula-based approach and polynomial modulo N operation, this new method not only simplifies the computation process but also demonstrates significant advantages in terms of precision and computational efficiency, offering considerable practical application value.