Some quadratic permutation polynomials over finite fields
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Published:2023-05-25
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Singh Rajesh P.1,
Vishwakarma Chandan Kumar1
Affiliation:
1. Department of Mathematics, Central University of South Bihar, Gaya, Bihar, India
Abstract
Polynomials of the form [Formula: see text] are called quadratic polynomials over a finite field [Formula: see text] and the quadratic polynomials of the form [Formula: see text] are called Dembowski–Ostrom polynomials. In this paper, we propose four classes of permutation trinomials of Dembowski–Ostrom type polynomials over finite fields [Formula: see text] and two classes of quadratic permutation polynomials of the form [Formula: see text] over [Formula: see text].
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory