The compositional inverses of permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910623492734976 |
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| author | Wu, Danyao Yuan, Pingzhi Guan, Huanhuan Li, Juan |
| author_facet | Wu, Danyao Yuan, Pingzhi Guan, Huanhuan Li, Juan |
| contents | In this paper, we present the compositional inverses of several classes permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$, where for $1\leq i \leq k,$ $s_i, m$ are positive integers, $b_i, δ\in \mathbb{F}_{p^{2m}},$ and $p$ is prime. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_18662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The compositional inverses of permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$ Wu, Danyao Yuan, Pingzhi Guan, Huanhuan Li, Juan Number Theory In this paper, we present the compositional inverses of several classes permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$, where for $1\leq i \leq k,$ $s_i, m$ are positive integers, $b_i, δ\in \mathbb{F}_{p^{2m}},$ and $p$ is prime. |
| title | The compositional inverses of permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.18662 |