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A class of permutation quadrinomials |
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| Authors: | Ziran Tu Xiangyong Zeng Tor Helleseth |
| Institution: | 1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China;2. Faculty of Mathematics and Statistics, Hubei Key Laboratory of applied mathematics, Hubei University, Wuhan 430062, China;3. Department of Informatics, University of Bergen, Bergen N-5020, Norway;4. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China |
| Abstract: | In this paper, we investigate the permutation behavior of a class of quadrinomials. Each term of these quadrinomials has a Niho-type exponent, and two sets of coefficient triples making the quadrinomials to be permutations are obtained. We use a substitution to transform the permutation problem into the root distribution problem in the unit circle of certain quadratic and cubic equations. |
| Keywords: | Permutation polynomial Finite field Permutation quadrinomial Trace function |
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