环Z4上线性循环码的深度谱
On the Depth Spectrums of Linear Cyclic Codes on Ring Z4
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摘要: Etzion定义并研究了域Fq上线性码的深度谱，该文研究了环Z4上线性码与线性循环码的深度谱，证明了4k12k2型线性码的深度谱至少含有k1+k2个非零值，并给出了一类4k型线性循环码的深度谱为{n,n-1, ,n-k+1} 。
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关键词:
- 线性码;线性循环码;深度;深度谱
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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