3 citations · 6 across the 7 of their papers we have counts for
7 papers
Permutation polynomials of finite fields of even characteristic from character sums
Ruikai Chen, Sihem Mesnager
In this paper, we investigate permutation polynomials over the finite field with , focusing on those in the form , where $A\in\…
On a Class of Permutation Rational Functions Involving Trace Maps
Ruikai Chen, Sihem Mesnager
Permutation rational functions over finite fields have attracted high interest in recent years. However, only a few of them have been exhibited. This article studies a class of per…
Permutation Rational Functions over Quadratic Extensions of Finite Fields
Ruikai Chen, Sihem Mesnager
Permutation rational functions over finite fields have attracted much attention in recent years. In this paper, we introduce a class of permutation rational functions over $\mathbb…
On a Class of Permutation Polynomials and Their Inverses
Ruikai Chen, Sihem Mesnager
We introduce a class of permutation polynomial over that can be written in the form or for some -linear polynomial…
Characterizations of a Class of Planar Functions over Finite Fields
Ruikai Chen, Sihem Mesnager
Planar functions, introduced by Dembowski and Ostrom, have attracted much attention in the last decade. As shown in this paper, we present a new class of planar functions of the fo…
Trinomial Planar Functions on Cubic and Quartic Extensions of Finite Fields
Ruikai Chen, Sihem Mesnager
Planar functions, introduced by Dembowski and Ostrom, are functions from a finite field to itself that give rise to finite projective planes. They exist, however, only for finite f…
A Function Field Approach Toward Good Polynomials for Further Results on Optimal LRC Codes
Ruikai Chen, Sihem Mesnager
Because of the recent applications to distributed storage systems, researchers have introduced a new class of block codes, i.e., locally recoverable (LRC) codes. LRC codes can reco…