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| A Class of Repeated-root Constacyclic Codes over the Ring Fq+uFq+…+uk-1Fq |
| Zhu Shi-xin①; Li Ping①; Wu Bo② |
| ①Dept. of Appl. Math., Hefei University of Technology, Hefei 230009, China;②School of Math. and Compu. Science, Anhui University, Hefei 230039, China |
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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 pe are 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.
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Received: 18 December 2006
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2008, Vol. 30 
