Generalized Hamming weights of three classes of linear codes

Generalized Hamming weights of three classes of linear codes
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三类线性码的广义汉明权

DOI:
10.1016/j.ffa.2017.01.001
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发表时间:
2016-12
影响因子:
1
通讯作者:
Wu Hongfeng
Wu Hongfeng
中科院分区:
数学2区
文献类型:
--
作者:
Jian Gaopeng;Feng Rongquan;Wu Hongfeng

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自从Wei首次用广义Hamming重量来刻画线性码在II型窃听信道上的密码学性能以来,线性码的广义Hamming重量得到了广泛的研究。本文研究了通过定义集合构造的三类线性码的广义Hamming重量,并在某些情况下部分地确定了它们的广义Hamming重量。特别地,在半原始情况下,我们解决了Yang et al.(2015)[30]中遗留的问题。
The generalized Hamming weights of a linear code have been extensively studied since Wei first use them to characterize the cryptography performance of a linear code over the wire-tap channel of type II. In this paper, we investigate the generalized Hamming weights of three classes of linear codes constructed through defining sets and determine them partly for some cases. Particularly, in the semiprimitive case we solve a problem left in Yang et al. (2015) [30].
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