Xi Xie

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20212026

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cs.IT2026

Complete characterization of the differential spectrum of a Niho type power function

Nian Li, Xi Xie, Rui Xu +2

Power functions with Niho exponents have attracted considerable attention due to their important applications in sequence design, coding theory, and cryptography. This paper invest…

cs.IT2025

Construction of $(n, n)$ -functions with low differential-linear uniformity

Xi Xie, Nian Li, Qiang Wang +2

The differential-linear connectivity table (DLCT), introduced by Bar-On et al. at EUROCRYPT'19, is a novel tool that captures the dependency between the two subciphers involved in…

cs.IT2022

On the Niho type locally-APN power functions and their boomerang spectrum

Xi Xie, Sihem Mesnager, Nian Li +2

In this article, we focus on the concept of locally-APN-ness (``APN" is the abbreviation of the well-known notion of Almost Perfect Nonlinear) introduced by Blondeau, Canteaut, and…

cs.IT2021

Several classes of bent functions over finite fields

Xi Xie, Nian Li, Xiangyong Zeng +2

Let $F_{p^{n}}$ be the finite field with $p^{n}$ elements and $Tr (\cdot)$ be the trace function from $F_{p^{n}}$ to $F_{p}$ , where $p$ is a…

Complete characterization of the differential spectrum of a Niho type power function

Construction of (n,n)-functions with low differential-linear uniformity

On the Niho type locally-APN power functions and their boomerang spectrum

Several classes of bent functions over finite fields

Construction of $(n, n)$ -functions with low differential-linear uniformity