Complete weight enumerators of two classes of linear codes

Complete weight enumerators of two classes of linear codes
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两类线性码的完全权重枚举器

DOI:
10.1016/j.disc.2016.09.003
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发表时间:
2017
影响因子:
0.8
通讯作者:
Lin Dongdai
Lin Dongdai
中科院分区:
数学3区
文献类型:
--
作者:
Wang Qiuyan;Li Fei;Ding Kelan;Lin Dongdai

文献摘要

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本文给出了有限域上两类线性码的完全重量计数元,其中p为素数。这些线性码是有限非链环上MacDonald码的扭码,其中v~2 = v.我们还利用这些线性码构造了带新参数的系统认证码.
In this paper, we give the complete weight enumerators of two classes of linear codes over the finite field, wherepis a prime. These linear codes are the torsion codes of MacDonald codes over the finite non-chain ring, wherev2=v. We also employ these linear codes to construct systematic authentication codes with new parameters.