Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3132
Abstract
In this paper, by transforming the permutation problem into the root distribution problem in the unit circle of certain quadratic and cubic equations, we investigate the permutation behavior of the type $f(x)=x+x^{2^{3m}-2^m+1}+x^{2^{4m}-2^{3m}+2^m}$ over $F_{2^{4m}}$ and $f(x)=x+x^{2^m}+x^{2^{m+1}-1}+ax^{2^{2m}-2^m+1}$ over $F_{2^{2m}}$, respectively.
Keywords
Finite field, permutation trinomial, permutation quadrinomial
First Page
919
Last Page
928
Recommended Citation
LIU, QIAN
(2022)
"Two classes of permutation polynomials with Niho exponents over finite fields with even characteristic,"
Turkish Journal of Mathematics: Vol. 46:
No.
3, Article 17.
https://doi.org/10.55730/1300-0098.3132
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss3/17
