Inverses of six classes of permutation polynomials of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic
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| Format: | Preprint |
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2026
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| _version_ | 1866910154433232896 |
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| author | Singh, Rajesh P. Kumar, Dinesh Prakash, Jitendra |
| author_facet | Singh, Rajesh P. Kumar, Dinesh Prakash, Jitendra |
| contents | Recently, Jiang et al. \cite{JIANG2025102522} obtained several classes of Permutation Polynomial of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields $\mathbb{F}_{q^2},q=2^n$. In this paper, we find the compositional inverse of six classes of permutation polynomials of this form. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_02919 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inverses of six classes of permutation polynomials of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic Singh, Rajesh P. Kumar, Dinesh Prakash, Jitendra Number Theory 11T06, 12E10 Recently, Jiang et al. \cite{JIANG2025102522} obtained several classes of Permutation Polynomial of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields $\mathbb{F}_{q^2},q=2^n$. In this paper, we find the compositional inverse of six classes of permutation polynomials of this form. |
| title | Inverses of six classes of permutation polynomials of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic |
| topic | Number Theory 11T06, 12E10 |
| url | https://arxiv.org/abs/2601.02919 |