摘要
给出了环GR(p2,m)上长为p的循环码结构,即扩环GR(p2,m)[u]/〈up-1〉的理想结构,并给出了环Zp2上长度为pn循环码的结构以及计数情形.
The structure of the cyclic codes of length p over GR(p^2,m), or equivalently, the structure of ideas of the extension ring GR(p^2 ,m)[u]/(u^p-1) was given. The structure and the number of the cyclic codes of length pn over Zp^2 were also given.
基金
国家自然科学基金(60673074)
安徽省教育厅自然科学研究基金(KJ2008B245)
巢湖学院科学研究基金(XLY-200707)资助
关键词
循环码
GALOIS环
离散傅立叶变换
商码
挠码
cyclic codes
Galois rings
discrete Fourier transforms
torsion codes
residue codes