环$GF(q)$，$q>2$上循环码的重量结构
On the weight structure of cyclic codes over $GF(q)$, $q>2$
摘要：
一个理想的循环结构，即，考虑了Galois域$GF(q)$、$q>2$上的循环码及其比例元类。该关系用于定义代码的权重结构。给出了GF（q）上不可约非本原码的等距条件。此外，还找到了一类非本原循环码的最小距离。
英文摘要：
The interrelation between the cyclic structure of an ideal, i.e., a cyclic code over Galois field $GF(q)$, $q>2$, and its classes of proportional elements is considered. This relation is used in order to define the code's weight structure. The equidistance conditions of irreducible nonprimitive codes over GF(q) are given. Besides that, the minimum distance for some class of nonprimitive cyclic codes is found.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
