Abstract:Let R=Fq+uFq+…+uk-1Fq,G=R[x]/ and λ be an invertible element in R.A new Gray mapφfrom Gn to Rtn is defined.It is proved that J is a linear x-constacyclic code of length n if and only if φ(J) is a linearα-constacyclic code over R of length tn.By means of the theory of finite rings the structure and sizes of all(uλ-1)-constacyclic codes over R of length peare obtained.Especially,the structure and sizes of the duals of all (uλ-1)-constacyclic codes of length 2e over the ring F2m+uF2m are also obtained. Some of the results about repeated-root negacyclic codes over the ring Z2a are generalized.
朱士信; 李 平; 吴 波. 环Fq+uFq+…+uk-1Fq上一类重根常循环码[J]. 电子与信息学报, 2008, 30(6): 1394-1396 .
Zhu Shi-xin①; Li Ping①; Wu Bo②. A Class of Repeated-root Constacyclic Codes over the Ring Fq+uFq+…+uk-1Fq. , 2008, 30(6): 1394-1396 .