A class of permutation quadrinomials

作者：Tu, Ziran; Zeng, Xiangyong^*; Helleseth, Tor

来源：Discrete Mathematics, 2018, 341(11): 3010-3020.

DOI：10.1016/j.disc.2018.07.021

• Permutation polynomial
• Finite field
• Permutation quadrinomial
• Trace function

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.

• 出版日期2018-11
• 单位山东科技大学; 湖北大学; 河南大学