agw criterion
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2021 ◽  
Vol 6 (12) ◽  
pp. 13503-13514
Author(s):  
Qian Liu ◽  
◽  
Jianrui Xie ◽  
Ximeng Liu ◽  
Jian Zou ◽  
...  

<abstract><p>In this paper, by employing the AGW criterion and determining the number of solutions to some equations over finite fields, we further investigate nine classes of permutation polynomials over $ \mathbb{F}_{p^n} $ with the form $ (x^{p^m}-x+\delta)^{s_1}+(x^{p^m}-x+\delta)^{s_2}+x $ and propose five classes of complete permutation polynomials over $ \mathbb{F}_{p^{2m}} $ with the form $ ax^{p^m}+bx+h(x^{p^m}-x) $.</p></abstract>



Author(s):  
Tailin Niu ◽  
Kangquan Li ◽  
Longjiang Qu ◽  
Qiang Wang
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2020 ◽  
Vol 61 ◽  
pp. 101584 ◽  
Author(s):  
Zengxiang Li ◽  
Miao Wang ◽  
Jianhua Wu ◽  
Xishun Zhu


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