Abstract: As a kind of cyclic code, BCH code is applied widely in the communications. In this paper, it proposes a BCH code parameters estimation algorithm based on cyclotomic coset over finite fields. The proposed method achieves fast speed for the synchronization and the length of the BCH code estimation because it takes advantage of BCH code’s characteristics that BCH is also a kind of Hamming code. The generator polynomial of BCH code is estimated accurately by using the cyclotomic coset theory. Simulation results show that this method needs less data, estimates fast and has good performance when error exists.

Key words: non-cooperative communication, BCH codes, blind estimation, finite fields, cyclotomic coset

摘要： BCH码作为一种循环码在通信领域有很广泛的应用，提出一种基于有限域分圆陪集的BCH码参数估计方法。由于该方法利用了BCH码的汉明码特性，实现了码组同步时刻和码长的快速估计，利用分圆陪集原理，准确估计出BCH码的生成多项式。仿真实验结果表明，该方法具有所需数据量少、识别速度快、抗误码性能好的特点。

关键词: 非合作通信, BCH码, 盲估计, 有限域, 分圆陪集