Several classes of permutation pentanomials

Zhiguo Ding

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arXiv · 2606.31262

Several classes of permutation pentanomials

Zhiguo Ding

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Abstract

For each prime $p$ and each power $q=p^k$, we present two large classes of permutation polynomials over $\F_{q^2}$ of the form $X^r B(X^{q-1})$ which have at most five terms, where $B(X)$ is a polynomial with coefficients in the prime field of $\F_{q^2}$ except at most one.

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Zhiguo Ding. 2026-06-30. Several classes of permutation pentanomials. https://arxiv.org/abs/2606.31262

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