The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacycli...The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacyclic codes over the finite chain ring R. Through the paper, it is assumed that the length of codes n can not be divided by the characteristic of R.展开更多
Self-similar sets（SSS） are the most important class of Fractals and play an important role in the studies in Fractal. In this note, we introduce self-similar-like sets（SSLS） which generalize self-similar sets,we w...Self-similar sets（SSS） are the most important class of Fractals and play an important role in the studies in Fractal. In this note, we introduce self-similar-like sets（SSLS） which generalize self-similar sets,we will show some properties of SSLS which distinguish essentially that of SSS, and we will give also some applications of SSLS.展开更多
基金Partly supported by the National Natural Science Foundations of China (No.60673074)key project of Ministry of Education Science and Technology’s Research (107065).
文摘The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacyclic codes over the finite chain ring R. Through the paper, it is assumed that the length of codes n can not be divided by the characteristic of R.
基金Supported by the National Natural Science Foundation of China(No.61071066)
文摘Self-similar sets（SSS） are the most important class of Fractals and play an important role in the studies in Fractal. In this note, we introduce self-similar-like sets（SSLS） which generalize self-similar sets,we will show some properties of SSLS which distinguish essentially that of SSS, and we will give also some applications of SSLS.
