Ziran Tu

activity

20132024

most citedA Class of Binomial Permutation Polynomials

27 citations · 39 across the 5 of their papers we have counts for

collaborators

5 papers

cs.DM2024

A Novel Approach for Bent Functions with Dillon-like Exponents and Characterizing Three Classes of Bent Functions via Kloosterman Sums

Ziran Tu, Sihem Mesnager, Xiangyong Zeng +3

Dillon-like Boolean functions are known, in the literature, to be those trace polynomial functions from $F_{2^{2 n}}$ to $F_{2}$ , with all the exponents being mult…

cs.IT2021★ 3 cited

A class of APcN power functions over finite fields of even characteristic

Ziran Tu, Xiangyong Zeng, Yupeng Jiang +1

In this paper, we investigate the power functions $F (x) = x^{d}$ over the finite field $F_{2^{4 n}}$ , where $n$ is a positive integer and $d = 2^{3 n} + 2^{2 n} + 2^{n} - 1$ . It is prove…

math.NT2018★ 6 cited

Determination of a Class of Permutation Trinomials in Characteristic Three

Xiang-dong Hou, Ziran Tu, Xiangyong Zeng

Let $f (X) = X (1 + a X^{q (q - 1)} + b X^{2 (q - 1)}) \in F_{q^{2}} [X]$ , where $a, b \in F_{q^{2}}^{*}$ . In a series of recent papers by several authors, sufficient conditions on $a$ and $b$ were…

math.NT2013★ 3 cited

Complete permutation polynomials over finite fields of odd characteristic

Guangkui Xu, Xiwang Cao, Ziran Tu +2

In this paper, we present three classes of complete permutation monomials over finite fields of odd characteristic. Meanwhile, the compositional inverses of these complete permutat…

math.NT2013★ 27 cited

A Class of Binomial Permutation Polynomials

Ziran Tu, Xiangyong Zeng, Lei Hu +1

In this note, a criterion for a class of binomials to be permutation polynomials is proposed. As a consequence, many classes of binomial permutation polynomials and monomial comple…