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Research Article | Open Access

Permutations involving squares in finite fields

Hai-Liang Wu1, Li-Yuan Wang2( )
School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211816, China
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Abstract

Let p be an odd prime and let Fp be the finite field of p elements. In 2019, Sun studied some permutations involving squares in Fp. In this paper, by the theory of local fields we generalize this topic to Fp2, which gives a partial answer to the question posed by Sun.

Keywords

quadratic residuespermutationsprimitive rootslocal fields

References

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Electronic Research Archive
Volume 30 Issue 6,
June 2022
Pages 2109-2120
DOI: 10.3934/era.2022106

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Wu H-L, Wang L-Y. Permutations involving squares in finite fields. Electronic Research Archive, 2022, 30(6): 2109-2120. https://doi.org/10.3934/era.2022106

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Received: 12 August 2021
Revised: 28 December 2021
Accepted: 30 December 2021
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)