Three-weight linear codes from Weil sums

Author(s):  
Shudi Yang
Keyword(s):  
IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 180471-180480
Author(s):  
Hong Lu ◽  
Shudi Yang
Keyword(s):  

2021 ◽  
Vol 6 (8) ◽  
pp. 8600-8610
Author(s):  
Shudi Yang ◽  
◽  
Zheng-An Yao ◽  

2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Tonghui Zhang ◽  
Hong Lu ◽  
Shudi Yang

<p style='text-indent:20px;'>Linear codes with few weights are widely used in strongly regular graphs, secret sharing schemes, association schemes and authentication codes. In this paper, we construct several two-weight and three-weight linear codes over finite fields by choosing suitable different defining sets. We also give some examples and some of the codes are optimal or almost optimal. Their applications to secret sharing schemes are also investigated.</p>


2019 ◽  
Vol 57 ◽  
pp. 92-107 ◽  
Author(s):  
Gaopeng Jian ◽  
Zhouchen Lin ◽  
Rongquan Feng
Keyword(s):  

2019 ◽  
Vol 28 (4) ◽  
pp. 706-711
Author(s):  
Yaru Wang ◽  
Fulin Li ◽  
Shixin Zhu
Keyword(s):  

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