Computer Science > Information Theory
arXiv:2212.13674 (cs)
[Submitted on 28 Dec 2022]
Title:Regular complete permutation polynomials over quadratic extension fields
View a PDF of the paper titled Regular complete permutation polynomials over quadratic extension fields, by Wei Lu and 3 other authors
View PDFAbstract:Let $r\geq 3$ be any positive integer which is relatively prime to $p$ and $q^2\equiv 1 \pmod r$. Let $\tau_1, \tau_2$ be any permutation polynomials over $\mathbb{F}_{q^2},$ $\sigma_M$ is an invertible linear map over $\mathbb{F}_{q^2}$ and $\sigma=\tau_1\circ\sigma_M\circ\tau_2$. In this paper, we prove that, for suitable $\tau_1, \tau_2$ and $\sigma_M$, the map $\sigma$ could be $r$-regular complete permutation polynomials over quadratic extension fields.
| Comments: | 10 pages. arXiv admin note: substantial text overlap witharXiv:2212.12869 |
| Subjects: | Information Theory (cs.IT); Number Theory (math.NT) |
| MSC classes: | 94B05, 94A62 |
| Cite as: | arXiv:2212.13674 [cs.IT] |
| (orarXiv:2212.13674v1 [cs.IT] for this version) | |
| https://doi.org/10.48550/arXiv.2212.13674 arXiv-issued DOI via DataCite |
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View a PDF of the paper titled Regular complete permutation polynomials over quadratic extension fields, by Wei Lu and 3 other authors
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