Huawei Wu

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20232026

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math.NT2024

The Differential and Boomerang Properties of a Class of Binomials

Sihem Mesnager, Huawei Wu

Let $q$ be an odd prime power with $q \equiv 3 (mod 4)$ . In this paper, we study the differential and boomerang properties of the function $F_{2, u} (x) = x^{2} (1 + u η (x))$ …

cs.CR2024

An in-depth study of the power function $x^{q + 2}$ over the finite field $F_{q^{2}}$ : the differential, boomerang, and Walsh spectra, with an application to coding theory

Sihem Mesnager, Huawei Wu

Let $q = p^{m}$ , where $p$ is an odd prime number and $m$ is a positive integer. In this paper, we examine the finite field $F_{q^{2}}$ , which consists of $q^{2}$ elements. We f…

The Differential and Boomerang Properties of a Class of Binomials

An in-depth study of the power function xq+2 over the finite field Fq2​: the differential, boomerang, and Walsh spectra, with an application to coding theory

An in-depth study of the power function $x^{q + 2}$ over the finite field $F_{q^{2}}$ : the differential, boomerang, and Walsh spectra, with an application to coding theory