摘要
The study of cyclic codes over rings has generated a lot of public interest.In this paper,we study cyclic codes and their dual codes over the ring Z P2 of length pe,and find a set of generators for these codes.The ranks and minimal generator sets of these codes are studied as well,which play an important role in decoding and determining the distance distribution of codes.
The study of cyclic codes over rings has generated a lot of public interest. In this paper, we study cyclic codes and their dual codes over the ring Zp^2 of length p^e, and find a set of generators for these codes. The ranks and minimal generator sets of these codes are studied as well, which play an important role in decoding and determining the distance distribution of codes.
基金
the National Natural Science Foundation of China(No.60673074)
the Key Project of Ministry of Education Science and Technology’s Research(107065)
