Journal
FINITE FIELDS AND THEIR APPLICATIONS
Volume 51, Issue -, Pages 31-61Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.ffa.2018.01.003
Keywords
Finite field; Permutation polynomial; Trace function; AGW criterion
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Funding
- National Natural Science Foundation of China [61672212, 61702166]
- National Natural Science Foundation of Hubei Province of China [2017CFB143]
- European Union's Horizon 2020 research and innovation program [H2020-MSCA-ITN-2014-643161 ECRYPT-NET]
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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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