Weight distributions of generalized quasi-cyclic codes over Fq plus uFq

Weight distributions of generalized quasi-cyclic codes over Fq plus uFq
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DOI:
10.1016/j.ffa.2023.102181
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发表时间:
2023-03-08
影响因子:
1
通讯作者:
Fu, Fang-Wei
Fu, Fang-Wei
中科院分区:
数学2区
文献类型:
--
作者:
Gao, Jian;Meng, Xiangrui;Fu, Fang-Wei

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本文利用高斯和的方法,确定了有限链环Fq+uFq上广义拟循环码的Hamming重量分布,其中u2 = 0.作为应用,我们得到了一些新的具有Wmin和Wmax的极小线性码无限族
In this paper, by Gauss sums, we determine Hamming weight distributions of generalized quasi-cyclic (GQC) codes over the finite chain ring Fq+uFq, where u2 = 0. As applications, some new infinite families of minimal linear codes with Wmin Wmax