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arXiv · 1705.06486

On permutation trinomials of type $x^{2p^s+r}+x^{p^{s}+r} +λx^r$

Daniele Bartoli·Giovanni Zini
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Abstract

We determine all permutation trinomials of type $x^{2p^s+r}+x^{p^s+r}+λx^r$ over the finite field $\mathbb{F}_{p^t}$ when $(2p^s+r)^4<p^t$. This partially extends a previous result by Bhattacharya and Sarkar in the case $p=2$, $r=1$.

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Daniele Bartoli, Giovanni Zini. 2017-05-18. On permutation trinomials of type $x^{2p^s+r}+x^{p^{s}+r} +λx^r$. https://arxiv.org/abs/1705.06486

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