Galois环上的多循环码及其对重根常循环码的应用
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
摘要：
循环码、双循环码和常循环码是称为多环码的更大类码的一部分;即，可以被视为多项式环的因子环的理想的那些码。研究了GR（p^a，m）上多环码的环境环的结构及其理想的生成集。结合环境环的一些结构细节，证明了理想的某类生成集的存在性。
英文摘要：
Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polynomial ring. The structure of the ambient ring of polycyclic codes over GR(p^a,m) and generating sets for its ideals are considered. Along with some structure details of the ambient ring, the existance of a certain type of generating set for an ideal is proven.
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。
