The punctured codes of two classes of cyclic codes with few weights
The punctured codes of two classes of cyclic codes with few weights
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DOI：
10.3934/amc.2022062
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Qinqin Ji;Dabin Zheng;Xiaoqiang Wang
中科院分区：
文献类型：
--
作者：
Qinqin Ji;Dabin Zheng;Xiaoqiang Wang
删截技术是从旧码构造新码的重要工具之一。近年来，利用这一技巧，已经得到了许多类具有有趣参数的线性码。基于二次高斯和、删截技巧和分圆类，研究了有限域上循环码的两类删截码。研究了这类码的权分布和编码器的参数。这些代码的参数是新的。
The puncturing technique is one of important tools for constructing new codes from old ones. In recent years, many classes of linear codes with interesting parameters have been obtained with this technique. Based on quadratic Gauss sums, the puncturing technique and cyclotomic classes, we investigate two classes of punctured codes of cyclic codes over finite fields. The weight distribution and the parameters of the duals of these codes are studied. The parameters of these codes are new.