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} . -
Etzion T. The depth distributionA new characterization for linear codes. IEEE Trans. on Info.Thory. 1997, IT-43(4): 1361-1363.[2]Mitchell C J. On integer-valued rational polynomials and depth distributions of binary codes. IEEE Trans. on Info. Theory, 1998, IT-44(7): 3146-3150.[3]Luo Y, Fu Fangwei, Victor K V Wei. On the depth distribution of linear codes. IEEE Trans. on Info. Theory. 2000, IT-46(6): 2197-2203.[4]岳殿武，Shwedyk E. 纠错码的深度分布在其周期分布研究中的应用. 应用科学学报，2001, 19(3): 189-192.[5]Wan Z X. Quaternary Codes, Singapore: World Scientific, 1997, 1-9: 96-98.[6]朱士信. 线性码的对称形式的Macwilliams恒等式[J].电子与信息学报.2003, 25(7):901-906浏览[7]杨善林，朱士信，童宏玺. 两种计算 环上码字深度的递归算法. 中国科技大学学报，2004, 34(6): 655-660. -
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