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February 14, 2024Communications in Algebra

Local method for compositional inverses of permutation polynomials

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Abstract

In this paper, we provide a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.

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Cite This Study

Pingzhi Yuan (2024) studied this question.

synapsesocial.com/papers/68e792c7b6db643587703ba4 https://doi.org/10.1080/00927872.2024.2314113

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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Some new classes of permutation polynomials and their compositional inverses2024
2The permutation polynomial with the formula b(<i>x</i> <sup>q</sup> + ax + δ)<sup>i</sup> + c(<i>x</i> <sup> <i>q</i> </sup> + ax + δ)<sup>j</sup> + ux<sup>q</sup> + vx and their compositional inverses over 𝔽<sub> <i>q</i> <sup>2</sup> </sub>2025
3Efficient Algorithms for Permutation Arrays from Permutation Polynomials2025
4Differential algebra of polytopes and inversion formulas2024
5Restricted Permutations Enumerated by Inversions2024

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Polynomial Complexity of Inversion of sequences and Local Inversion of Maps2024
Some new classes of permutation polynomials of the form ∑j=1rb j(xq2 + axq + cx + δ)sj − cx over 𝔽q32026

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