一类可约循环码及其对偶码的重量分布

Weight Distribution of a Class of Reducible Cyclic Codes and Their Dual Codes

设Fq为q元有限域.令n为一正整数,其所有素因子整除q?1.本文运用一种新的组合方法确定了Fq上一类长度为n的新可约循环码及其对偶码的重量计数器.这一结论推广了朱小萌等人2015年的结果.

Let Fq be the finite field with q elements.Let n be a positive integer,and its all prime factors divide q?1.In this paper,we use a new combination method to determine the weight enumerators of a class of reducible cyclic code of length n over Fq and their dual code.This conclusion generalizes some results of Zhu et al.in 2015.