Constructing APN functions has been intensively studied in the last three decades, and so far researchers only found six classes of APN power functions over F2n : Gold functions [9], Welch functions [5], Inverse functions [12], Kasami functions [10], Dobbertin functions [7], Niho functions [6].
Oct 27, 2022 · In this paper, with the help of resultant elimination and MAGMA, we propose several new infinite classes of 0-APN power functions over \mathbb{F}_{2^{n}}.
Missing: F2n. | Show results with:F2n.
Oct 27, 2022 · In this paper, with the help of resultant elimination and MAGMA, we propose several new infinite classes of 0-APN power functions over F2n . By ...
May 23, 2024 · Conversely, if two pAPN functions have differ- ent spectrums, then they must be not equivalent. If the two functions belong to different finite ...
Aug 24, 2023 · In this section, we will show several new classes of 0-APN power functions over F2n ... Several classes of 0-APN power functions over F2n .
SUMMARY. Constructing new families of APN functions is an impor- tant and challenging topic. Up to now, only six infinite families of APN.
In this paper, with the help of resultant elimination and MAGMA, we propose several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^{n}}$. By ...
In this paper, we propose several new infinite classes of 0-APN power functions over 𝔽2n by using the multivariate method and resultant elimination.
Oct 1, 2024 · In this paper, we propose several new infinite classes of 0-APN power functions over 𝔽2n by using the multivariate method and resultant ...
We exhibit an infinite class of almost perfect nonlinear quadratic binomials from. F2n to F2n with n = 4k and k odd. We prove that these functions are CCZ-.