Open AccessPermutations involving squares in finite fields
Author(s) -
Hai-Liang Wu,
Liyuan Wang
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022106
Subject(s) - finite field , prime (order theory) , combinatorics , mathematics , field (mathematics) , discrete mathematics , physics , pure mathematics
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 question posed by Sun.