TY - JOUR A2 - Haitao, Li AU - Liu, Xiaogang PY - 2021 DA - 2021/12/31 TI - Constructions and Necessities of Some Permutation Polynomials over Finite Fields SP - 9409130 VL - 2021 AB - Let Fq denote the finite field with q 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. SN - 1024-123X UR - https://doi.org/10.1155/2021/9409130 DO - 10.1155/2021/9409130 JF - Mathematical Problems in Engineering PB - Hindawi KW - ER -