On inverses of permutation polynomials of the form $$x\left( x^{s} -a\right) ^{(q^m-1)/s}$$ over $$\mathbb {F}_{q^n}$$-Reference-Cited by-同舟云学术

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On inverses of permutation polynomials of the form $$x\left( x^{s} -a\right) ^{(q^m-1)/s}$$ over $$\mathbb {F}_{q^n}$$

Published:2022-11-13 Issue:4 Volume:91 Page:1165-1181
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Zheng Yanbin,Yu Yuyin,Zha Zhengbang,Zhou Xingchen

Funder

Natural Science Foundation of Shandong

Guangdong Basic and Applied Basic Research Foundation

National Key R &D Program of China

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s10623-022-01142-z.pdf

Reference36 articles.

1. Akbary A., Wang Q.: On polynomials of the form $$x^rf(x^{(q-1)/l})$$. Int. J. Math. Math. Sci. 2007, 1–7 (2007). https://doi.org/10.1155/2007/23408.

2. Akbary A., Ghioca D., Wang Q.: On constructing permutations of finite fields. Finite Fields Appl. 17, 51–67 (2011).

3. Bartoli D., Timpanella M.: A family of permutation trinomials over $$\mathbb{F} _{q^2}$$. Finite Fields Appl. 70, 101781 (2021).

4. Bartoli D., Giulietti M., Quoos L., Zini G.: Complete permutation polynomials from exceptional polynomials. J. Number Theory 176, 46–66 (2017). https://doi.org/10.1016/j.jnt.2016.12.016.

5. Cao X., Hou X.-D., Mi J., Xu S.: More permutation polynomials with Niho exponents which permute $$\mathbb{F} _{q^2}$$. Finite Fields Appl. 62, 101626 (2020). https://doi.org/10.1016/j.ffa.2019.101626.

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1. A survey of compositional inverses of permutation polynomials over finite fields;Designs, Codes and Cryptography;2024-06-27

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