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20132026
most citedPower Functions over Finite Fields with Low -Differential Uniformity

15 citations · 17 across the 16 of their papers we have counts for

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6 papers · 1 filter

cs.IT2022

Several classes of 0-APN power functions over

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 -differential spectrum of in finite fields of odd characteristics

Constanza Riera, Pantelimon Stanica, Haode Yan

In the paper, we concentrate on the map on and using combinatorial and number theory techniques, we compute its detailed -diffe…

cs.IT20221 cited

On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their -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 -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 be an odd prime power. Let and be power mappings over , where and $d_2=d_1+\frac{q^2-1}{2}=\frac{(q-1)(q+3)}{2…

cs.CR2022

Boomerang Spectra of Two Classes of Power Functions via Their Differential Spectra

Ziying Zhang, Haode Yan, Zhen Li

In EUROCRYPT 2018, Cid introduced a new concept on the cryptographic property of S-boxes to evaluate the subtleties of boomerang-style attacks. This concept was named as…