本原BCH码的维数与周期分布

On the Dimension and the Period Distributionof Primitive BCH Codes

本文给出了求分圆陪集首集中元素个数新的计算公式，确定了长度为ｋ的分圆陪集的个数。给出了ｑ元域上狭义本原ＢＣＨ码的维数的计算公式，确定了狭义本原ＢＣＨ码的周期分布。

This paper presents the new formula for computing the number of the leader-set of cyclotomic cosets.The explicit number of the cyclotomic cosets of length k is fixed.The method for computing the dimension of narrow-sense primitive BCH codes is offered.Finally,we decide the period distribution of this kind of codes.