New classes of permutation binomials and permutation trinomials over finite fields

نویسندگان

  • Kangquan Li
  • Longjiang Qu
  • Xi Chen
چکیده

Permutation polynomials over finite fields play important roles in finite fields theory. They also have wide applications in many areas of science and engineering such as coding theory, cryptography, combinational design, communication theory and so on. Permutation binomials and trinomials attract people’s interest due to their simple algebraic form and additional extraordinary properties. In this paper, several new classes of permutation binomials and permutation trinomials are constructed. Some of these permutation polynomials are generalizations of known ones. Index Terms Finite Field, Permutation Polynomial, Permutation Binomial, Permutation Trinomial.

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عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 43  شماره 

صفحات  -

تاریخ انتشار 2017