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| On the Depth Spectrums of Linear Cyclic Codes on Ring Z4 |
| Zhu Shi-xin①; Yang Shan-lin②; Tong Hong-xi① |
| ①Department of Applied Mathematics, Hefei University of Technology, Hefei 230009，China;②Institute of Network, Hefei University of Technology, Hefei 230009, China |
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Abstract Etzion defined and studied the depth spectrums of linear codes on field Fq. In this correspondence, the depth spectrums of linear codes and linear cyclic codes on ring Z4 are studied, and it is proved that the depth spectrum of linear code of type 4k12k2 has at least k1+k2 nonzero values, and the depth spectrum of linear cyclic code of type 4k is {n,n-1,… ,n-k+1} .
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Received: 28 June 2004
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2005, Vol. 27 
