A proof of a conjecture on permutation trinomials
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909371821195264 |
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| author | Bartoli, Daniele Pal, Mohit Stanica, Pantelimon |
| author_facet | Bartoli, Daniele Pal, Mohit Stanica, Pantelimon |
| contents | In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding $f(X)=X^{q(p-1)+1} +αX^{pq}+X^{q+p-1}$, on finite fields $\mathbb{F}_{q^2}, q=p^k$, from [A. Rai, R. Gupta, {\it Further results on a class of permutation trinomials}, Cryptogr. Commun. 15 (2023), 811--820]. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_22692 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A proof of a conjecture on permutation trinomials Bartoli, Daniele Pal, Mohit Stanica, Pantelimon Number Theory Algebraic Geometry 11G20, 11T06, 12E20, 14Q10 In this paper we use algebraic curves and other algebraic number theory methods to show the validity of a permutation polynomial conjecture regarding $f(X)=X^{q(p-1)+1} +αX^{pq}+X^{q+p-1}$, on finite fields $\mathbb{F}_{q^2}, q=p^k$, from [A. Rai, R. Gupta, {\it Further results on a class of permutation trinomials}, Cryptogr. Commun. 15 (2023), 811--820]. |
| title | A proof of a conjecture on permutation trinomials |
| topic | Number Theory Algebraic Geometry 11G20, 11T06, 12E20, 14Q10 |
| url | https://arxiv.org/abs/2410.22692 |