AI Chat AI Image Generator AI Video Text to Speech

Necessities and sufficiencies of a class of permutation polynomials over finite fields

07/28/2019

∙

by Xiaogang Liu, et al.

∙

∙

For the finite field F_2^3m, permutation polynomials of the form (x^2^m+x+δ)^s+cx are studied. Necessary and sufficient conditions are given for the polynomials to be permutation polynomials. For this, the structures and properties of the field elements are analyzed.

page 1

page 2

page 3

page 4

research

∙ 07/08/2019

Further results on some classes of permutation polynomials over finite fields

Let F_q denote the finite fields with q elements. The permutation behavi...

0 Xiaogang Liu, et al. ∙

research

∙ 08/02/2023

Permutation and local permutation polynomial of maximum degree

Let F_q be the finite field with q elements and F_q[x_1,…, x_n] the ring...

0 Jaime Gutierrez, et al. ∙

research

∙ 11/08/2022

Bounds on the differential uniformity of the Wan-Lidl polynomials

We study the differential uniformity of the Wan-Lidl polynomials over fi...

0 Li-An Chen, et al. ∙

research

∙ 09/18/2019

On a conjecture about a class of permutation quadrinomials

Very recently, Tu et al. presented a sufficient condition about (a_1,a_2...

0 Kangquan Li, et al. ∙

research

∙ 06/14/2017

On the Complexity of Exact Counting of Dynamically Irreducible Polynomials

We give an efficient algorithm to enumerate all sets of r> 1 quadratic p...

0 Domingo Gómez-Pérez, et al. ∙

research

∙ 01/15/2020

The Bhargava greedoid as a Gaussian elimination greedoid

Inspired by Manjul Bhargava's theory of generalized factorials, Fedor Pe...

0 Darij Grinberg, et al. ∙

research

∙ 12/21/2017

A Recursive Construction of Permutation Polynomials over F_q^2 with Odd Characteristic from Rédei Functions

In this paper, we construct two classes of permutation polynomials over ...

0 Shihui Fu, et al. ∙