置换群与循环码和拟循环码的等价性
The Permutation Groups and the Equivalence of Cyclic and Quasi-Cyclic Codes
摘要：
给出了有限域上循环码的置换群所对应的有限群类。进一步，我们推广了Brand和Huffman等人的结果，得到了两个长度为p^r的循环码可以等价的置换集的性质.我们还找到了两个准循环码等价的置换集。
英文摘要：
We give the class of finite groups which arise as the permutation groups of cyclic codes over finite fields. Furthermore, we extend the results of Brand and Huffman et al. and we find the properties of the set of permutations by which two cyclic codes of length p^r can be equivalent. We also find the set of permutations by which two quasi-cyclic codes can be equivalent.
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。
