4.4 Article

Permutation polynomials (xPm - x + δ)s1 + (xPm - x + δ)s2 + x over Fpn

期刊

FINITE FIELDS AND THEIR APPLICATIONS
卷 51, 期 -, 页码 31-61

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.ffa.2018.01.003

关键词

Finite field; Permutation polynomial; Trace function; AGW criterion

资金

  1. National Natural Science Foundation of China [61672212, 61702166]
  2. National Natural Science Foundation of Hubei Province of China [2017CFB143]
  3. European Union's Horizon 2020 research and innovation program [H2020-MSCA-ITN-2014-643161 ECRYPT-NET]

向作者/读者索取更多资源

In this paper, we propose several classes of permutation polynomials with the form (x(pm) - x +delta)(s1) +(x(Pm) - x+delta)(s2) + x over finite fields. The permutation behavior of the proposed polynomials is investigated by the AGW criterion and determination of the number of solutions to certain equations over finite fields. (C) 2018 Elsevier Inc. All rights reserved.

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