A conjecture on permutation trinomials over finite fields of characteristic two

09/08/2018
by   Nian Li, et al.
0

In this paper, by analyzing the quadratic factors of an 11-th degree polynomial over the finite field , a conjecture on permutation trinomials over [x] proposed very recently by Deng and Zheng is settled, where n=2m and m is a positive integer with (m,5)=1.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
07/24/2023

A Degree Bound For The c-Boomerang Uniformity Of Permutation Monomials

Let 𝔽_q be a finite field of characteristic p. In this paper we prove th...
research
05/08/2021

On a conjecture on APN permutations

The single trivariate representation proposed in [C. Beierle, C. Carlet,...
research
06/12/2018

On the t-adic Littlewood Conjecture

The p-adic Littlewood Conjecture due to De Mathan and Teulié asserts tha...
research
10/12/2021

The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

In this paper, we conjecture that if the permutation invariance of neura...
research
09/12/2022

Rook Theory of the Etzion-Silberstein Conjecture

In 2009, Etzion and Siberstein proposed a conjecture on the largest dime...
research
09/25/2022

Burstein's permutation conjecture, Hong and Li's inversion sequence conjecture, and restricted Eulerian distributions

Recently, Hong and Li launched a systematic study of length-four pattern...
research
06/28/2023

Permutation Polynomial Interleaved Zadoff-Chu Sequences

Constant amplitude zero autocorrelation (CAZAC) sequences have modulus o...

Please sign up or login with your details

Forgot password? Click here to reset