Permutations involving squares in finite fields

Let $ p $ be an odd prime and let $ \mathbb{F}_p $ be the finite field of $ p $ elements. In 2019, Sun studied some permutations involving squares in $ \mathbb{F}_p $. In this paper, by the theory of local fields we generalize this topic to $ \mathbb{F}_{p^2} $, which gives a partial answer to the q...

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Bibliographic Details
Main Authors: Hai-Liang Wu, Li-Yuan Wang
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022106?viewType=HTML