Thursday 28th of March 2024
 

Permutation Binomials of the form {symbols}


Zengxiang Li, Xishun Zhu and Delong Wan

Permutation polynomials have been studies for over 140 years and have important applications in various areas. However, the constructions of permutation binomials is still a difficult problem. This note presents permutation binomials of the form f(x) = x^a+d^x over the finite field Fn2 and Fn3.

Keywords: Permutation polynomials, Permutation Binomials, finite field

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ABOUT THE AUTHORS

Zengxiang Li
He is now a lecturer whose research interests include algebra, group theory, and function theory.

Xishun Zhu
He is a lecturer whose research interests include sequences, coding theory and cryptography, group theory.

Delong Wan
He is a lecturer whose research interests include algebra, group theory, etc.


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