2024 Boomerang uniformity of a class of power maps

Boomerang uniformity of a class of power maps

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August undefined, 2024

WebMay 10, 2024 · Boomerang uniformity of a class of power maps 05/10/2024 ∙ by Sartaj Ul Hasan, et al. ∙ 0 ∙ share 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. 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 Quasi-planar monomials over finite fields Motivated by several recent results, we give some new classes of quasi-p...

Boomerang uniformity of a class of power maps

WebAbstract. We consider the boomerang uniformity of an inﬁnite class of (locally-APN) power maps and show that its boomerang uniformity over the ﬁnite ﬁeld F2n is 2 … WebMar 1, 2024 · It is shown that for this class of power maps, the differential uniformity is strictly greater than its boomerang uniformity, contrary to popular belief. Expand. 9. … toxic positivity deutsch

Boomerang uniformity of a class of power maps

WebJan 11, 2024 · We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that their boomerang uniformity over the finite field … 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 … toxic positivity defined

[2105.04284] Boomerang uniformity of a class of power …

The c -Differential Uniformity and Boomerang Uniformity ...

Webare only a few classes of power mappings with known boomerang uniformity in the literature. We list them in Table1. In this paper, we mainly study the boomerang uniformity of the power map-ping xq−3 2 over Fq via its diﬀerential properties, where q ≡ 3 (mod 4) is an odd prime power. The rest of this paper is organized as follows. Section2 ... WebDec 1, 2011 · A recent survey on some generalizations of the differential and boomerang uniformities is presented in [19]. ... ... As a generalization of the APN-ness property, Blondeau, Canteaut, and Charpin... toxic positivity youtubeWebSep 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... toxic positivity test

"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 " - Boomerang uniformity of a class of power maps

Boomerang uniformity of a class of power maps

[PDF] Characters, Weil sums and c-differential uniformity with an ...

WebNov 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 … WebSep 16, 2024 · This survey paper combines the known results on this new concept of differential and boomerang uniformities and analyzes their possible cryptographic applications, and presents more than nine lines of perspectives and research directions to benefit symmetric cryptography and other related domains such as combinatorial theory. …

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WebNov 1, 2024 · power maps, the differential uniformity is strictly greater than their boomerang uniformity. Keywords Finite ﬁelds · Differential uniformity · 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 .

WebMar 1, 2024 · The boomerang uniformity of power mappings attracts lots o f attention. ... M. Pal, and P. St˘ anic˘ a, Boomerang uniformity of a class of power maps, Des. … WebJun 26, 2024 · Sartaj Ul Hasan, Mohit Pal, Pantelimon Stănică, The c-differential uniformity and boomerang uniformity of some permutation polynomials, IEEE Trans. Inf. Theory. 68 (1) (2024), 679–691. Sartaj Ul Hasan, Mohit Pal, Pantelimon Stănică, Boomerang uniformity of a class of power maps, Des. Codes Cryptogr. 89 (11) (2024), 2627–2636.

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. WebJul 14, 2024 · In this paper, we investigate the power functions F (x)=x^d over the finite field 𝔽_2^4n, where n is a positive integer and d=2^3n+2^2n+2^n-1. It is proved that F (x)=x^d is APcN at certain c's in 𝔽_2^4n, and it is the second class of APcN power functions over finite fields of even characteristic.

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 …

WebMay 10, 2024 · Boomerang uniformity of a class of power maps. We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that … toxic positivity what is itWebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). toxic potato gameWebMay 10, 2024 · Download PDF 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 … toxic positivity 意味WebMay 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 … toxic potato gasWebWe 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, toxic positiveWebAs 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 toxic poz gifting videoWebLet F 1 ( x) = x d 1 and F 2 ( x) = x d 2 be power mappings over G F ( q 2), where d 1 = q − 1 and d 2 = d 1 + q 2 − 1 2 = ( q − 1) ( q + 3) 2. In this paper, we study the boomerang … toxic positivity philosophy book