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More Constructions of 3-Weight Linear Codes
Journal of Mathematics ( IF 1.4 ) Pub Date : 2021-01-04 , DOI: 10.1155/2021/6662843
Lingyong Ma 1 , Guanjun Li 2 , Fengyan Liu 2
Affiliation  

Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or -ary functions to construct more 3-weight linear codes, where is a prime. Moreover, we determine the weight distributions of the resulted linear codes by means of some exponential sums.

中文翻译:

3权重线性代码的更多构造

重量轻的线性编码已成为一个有趣的研究主题,是密码学和编码理论的重要应用。在本文中,我们应用一些三元近弯和2平稳函数或-三元函数来构造更多的3权重线性代码,其中素数。此外,我们通过一些指数和来确定结果线性代码的权重分布。
更新日期:2021-01-04
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