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arXiv · 1909.08209

On a conjecture about a class of permutation quadrinomials

Kangquan Li·Longjiang Qu·Chao Li·Hao Chen
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Abstract

Very recently, Tu et al. presented a sufficient condition about $(a_1,a_2,a_3)$, see Theorem 1.1, such that $f(x) = x^{3\cdot 2^m} + a_1 x^{2^{m+1}+1}+ a_2 x^{2^m+2} + a_3 x^3$ is a class of permutation polynomials over $\gf_{2^{n}}$ with $n=2m$ and $m$ odd. In this present paper, we prove that the sufficient condition is also necessary.

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Kangquan Li, Longjiang Qu, Chao Li, Hao Chen. 2019-09-18. On a conjecture about a class of permutation quadrinomials. https://arxiv.org/abs/1909.08209

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