A conjecture on permutation trinomials over finite fields of characteristic two
classification
💻 cs.IT
math.COmath.IT
keywords
conjecturefiniteftwonpermutationtrinomialsanalyzingcharacteristicdegree
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In this paper, by analyzing the quadratic factors of an $11$-th degree polynomial over the finite field $\ftwon$, a conjecture on permutation trinomials over $\ftwon[x]$ proposed very recently by Deng and Zheng is settled, where $n=2m$ and $m$ is a positive integer with $\gcd(m,5)=1$.
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