Abstract:Cyclic codes over the ring R=Fpm+uFpm can be seen as the ideals of R[x]/<xpk-1>. Based on the studing of ideals of R[x]/<xpk-1>, a unique method of representing cyclic codes of length pk and their mass formulas over the ring Fpm+uFpm are provided. For the cyclic self-dual codes of length pk over the ring Fpm+uFpm, their structures and mass formulas are given.
朱士信, 丁健. 环Fpm+uFpm上长为pk的循环码计数[J]. 电子与信息学报, 2010, 32(9): 2101-2105.
Zhu Shi-Xin, Ding Jian. Mass Formulas for Cyclic Codes of Length pk over the Ring Fpm+uFpm. , 2010, 32(9): 2101-2105.