Boomerang uniformity of a class of power maps
WebAbstract. We consider the boomerang uniformity of an infinite class of power maps and show that its boomerang uniformity over the finite field F2n is 2 and 4, when n≡ 0 (mod 4) and n≡ 2 (mod 4), respectively. As a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than its boomerang ... WebIn this paper, we consider the boomerang uniformity of an infinite class m of locally-APN (see Definition 2.1) functions f (x) = x2 −1 over the finite field F2n , where n = 2m with m > 1. In Section 2, we recall some results concerning the differential uniformity of f .
Boomerang uniformity of a class of power maps
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WebBoomerang uniformity of a class of power maps We consider the boomerang uniformity of an infinite class of power maps ... 0 Sartaj Ul Hasan, et al. ∙ share research ∙ 2 years ago Investigations on c- (almost) perfect nonlinear functions In a prior paper , two of us, along with P. Ellingsen, P. Felke an... 0 Sihem Mesnager, et al. ∙ share
WebAs a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than its boomerang uniformity. Now on home page ads WebNov 1, 2024 · Hasan SU Pal M Stănică P Boomerang uniformity of a class of power maps Des. Codes Cryptogr. 2024 89 2627 2636 4321787 10.1007/s10623-021-00944-x Google Scholar Digital Library; 11. Hasan SU Pal M Stănică P The c-differential uniformity and boomerang uniformity of two classes of permutation polynomials IEEE Trans. Inform.
WebWe give a class of power maps with boomerang uniformity four. Moreover, we compute the differential uniformity of this class of power maps and determine its complete differential spectrum. As a consequence, we show that for this class of power maps, WebWe consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that their boomerang uniformity over the finite field F2nis 2 and 4, when …
The differential uniformity of the non-permutation power map x^{15} over \mathbb F_{2^8}is 14, whereas its boomerang uniformity is 2. In the following we shall focus on APN functions. First, we recall two lemmas which give a connection between the DDT and BCT entries of arbitrary permutation functions, respectively, … See more Let f(x)=x^{2^m-1}, m>1 odd, be a power map from the finite field \mathbb {F}_{2^{2m}} to itself. Then, the boomerang uniformity of fis 4. See more As an example, we checked by SageMath that the differential uniformity of the non-permutation power map x^7 over \mathbb F_{2^6}is 6, whereas its boomerang uniformity is 4. The following theorem gives the boomerang … See more Recall that for any b \in \mathbb {F}_q^*, q=2^{2m}, the BCT entry \mathcal {B}_f(1,b) at point (1, b) of f, is given by the number of solutions in \mathbb {F}_q \times \mathbb {F}_qof the following system of equations … See more Let f(x)=x^{2^m-1}, m>1 even, be a power map from the finite field \mathbb {F}_{2^{2m}} to itself. Then, the boomerang uniformity of fis 2. See more
WebMar 31, 2024 · Abstract: We consider the boomerang uniformity of an infinite class of power maps and show that its boomerang uniformity over the finite field F2n is 2 and 4,when n=0 (mod 4)and n=2 (mod 4),respectively. As a consequence, we show that for this class of power maps, the differential uniformity is strictly greater than its boomerang … hiring design templateWebNov 1, 2024 · power maps, the differential uniformity is strictly greater than their boomerang uniformity. Keywords Finite fields · Differential uniformity · Boomerang … home sheet musicWebThe differential uniformity of f was determined by Helleseth and Sandberg [ 14] in 1997. In this paper, we study the boomerang uniformity of f via its differential properties. It is shown that f has low boomerang uniformity when q ≡ 3 ( mod 4). References 1. Beth, T., Ding, C.: On almost perfect nonlinear permutations. home sheetingWebMay 10, 2024 · We consider the boomerang uniformity of an infinite class of power maps and show that its boomerang uniformity over the finite field F2n is 2 and 4,when n=0 … home sheet music freeWebWe consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that their boomerang uniformity over the finite field F2n is 2 and 4, when n … home sheets at targetWebNov 8, 2024 · 3 Power maps with Low c=-1 differential Uniformity. Due to their wide range of applications in symmetric key cryptography, functions with low differential uniformity … hiringdesk healthscopehospitals.comWebSep 27, 2024 · 09/27/22 - In the literature, there are many APN-like functions that generalize the APN properties or are similar to APN functions, e.g. loca... home sheep home online free