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Constructions and Necessities of Some Permutation Polynomials over Finite Fields

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  • Xiaogang Liu

Abstract

Let denote the finite field with elements. Permutation polynomials over finite fields have important applications in many areas of science and engineering such as coding theory, cryptography, and combinatorial design. The study of permutation polynomials has a long history, and many results are obtained in recent years. In this paper, we obtain some further results about the permutation properties of permutation polynomials. Some new classes of permutation polynomials are constructed, and the necessities of some permutation polynomials are studied.

Suggested Citation

  • Xiaogang Liu, 2021. "Constructions and Necessities of Some Permutation Polynomials over Finite Fields," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, December.
    • Handle: RePEc:hin:jnlmpe:9409130
    DOI: 10.1155/2021/9409130
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