Haode Yan

activity

20132023

most citedPower Functions over Finite Fields with Low

c

-Differential Uniformity

15 citations · 17 across the 15 of their papers we have counts for

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10 papers · 1 filter

cs.IT2022

Several classes of 0-APN power functions over $F_{2^{n}}$

Tao Fu, Haode Yan

Recently, the investigation of Partially APN functions has attracted a lot of attention. In this paper, with the help of resultant elimination and MAGMA, we propose several new inf…

cs.IT2022

The $c$ -differential spectrum of $x \mapsto x^{\frac{p ^{n} + 1}{2}}$ in finite fields of odd characteristics

Constanza Riera, Pantelimon Stanica, Haode Yan

In the paper, we concentrate on the map $x \mapsto x^{\frac{p ^{n} + 1}{2}}$ on $F_{p^{n}}$ and using combinatorial and number theory techniques, we compute its detailed $c$ -diffe…

cs.IT2022★ 1 cited

On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their $c$ -differential properties

Haode Yan, Sihem Mesnager, Xiantong Tan

Only three classes of Almost Perfect Nonlinear (for short, APN) power functions over odd characteristic finite fields have been investigated in the literature, and their differenti…

cs.IT2022

Two low differentially uniform power permutations over odd characteristic finite fields: APN and differentially $4$ -uniform functions

Haode Yan, Sihem Mesnager, Xiantong Tan

Permutation polynomials over finite fields are fundamental objects as they are used in various theoretical and practical applications in cryptography, coding theory, combinatorial…

cs.IT2022

Two Classes of Power Mappings with Boomerang Uniformity 2

Zhen Li, Haode Yan

Let $q$ be an odd prime power. Let $F_{1} (x) = x^{d_{1}}$ and $F_{2} (x) = x^{d_{2}}$ be power mappings over $GF (q^{2})$ , where $d_{1} = q - 1$ and $d_2=d_1+\frac{q^2-1}{2}=\frac{(q-1)(q+3)}{2…

cs.IT2021

The Differential Spectrum of the Power Mapping $x^{p^{n} - 3}$

Haode Yan, Yongbo Xia, Chunlei Li +3

Let $n$ be a positive integer and $p$ a prime. The power mapping $x^{p^{n} - 3}$ over $F_{p^{n}}$ has desirable differential properties, and its differential spectra for $p=2,\,…

Several classes of 0-APN power functions over F2n​

The c-differential spectrum of x↦x2pn+1​ in finite fields of odd characteristics

On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their c-differential properties

Two low differentially uniform power permutations over odd characteristic finite fields: APN and differentially 4-uniform functions

Two Classes of Power Mappings with Boomerang Uniformity 2

The Differential Spectrum of the Power Mapping xpn−3

Several classes of 0-APN power functions over $F_{2^{n}}$

The $c$ -differential spectrum of $x \mapsto x^{\frac{p ^{n} + 1}{2}}$ in finite fields of odd characteristics

On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their $c$ -differential properties

Two low differentially uniform power permutations over odd characteristic finite fields: APN and differentially $4$ -uniform functions

The Differential Spectrum of the Power Mapping $x^{p^{n} - 3}$