【摘要】 近年来,在编码理论中,Galois环上码的研究成为编码理论工作者研究的一个热点。定义了Galois环上循环码的离散傅里叶变换及Mattson-Solomon(MS)多项式,证明了Galois环上的循环码同构于Galois环的Galois扩张的理想。更多还原

【Abstract】 Galois rings may be of interesting in coding theory,which have already been studied by many coding theorists.In this paper,discrete Fourier transform and MS polynomial are defined for cyclic codes over Galois rings.A new description of cyclic codes over Galois rings is given.更多还原