Boomerang uniformity of a class of power maps

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August undefined, 2024

WebAbstract. Let f ( x) = x q - 3 2 be a power mapping over F q, where q is an odd prime power. The differential uniformity of f was determined by Helleseth and Sandberg [ 14] in 1997. … 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. …

More infinite classes of APN-like Power Functions DeepAI

WebJan 26, 2024 · The objective of this paper is to study the -1-differential uniformity of ternary APN power functions F (x)=x^d over GF (3^n). We obtain ternary power functions with low -1-differential uniformity, and some of them are almost perfect -1-nonlinear. READ FULL TEXT page 1 page 2 page 3 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. the roguish baron by sophie barnes

On -1-differential uniformity of ternary APN power functions

WebJan 6, 2024 · This contributes a new class of power mappings with known differential spectrum and extends the result of [ 4, Theorem 7] from (p,k)= (2,1) to general ( p , k ). Based on the differential spectrum of F ( x ), we … 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... WebJan 4, 2024 · In this paper, we study a class of polynomial maps whose functional associated graph has a regularity in the trees attached to each vertex in a cycle. In order to describe such trees, we present the well-known notion of elementary trees. Definition 2.1. track of december 10 tornado

Boomerang uniformity of a class of power maps DeepAI

WebJan 11, 2024 · Let f (x)=x^ {\frac {q-3} {2}} be a power mapping over {\mathbb {F}}_ {q}, where q is an odd prime power. The differential uniformity of f was determined by … WebMar 20, 2013 · ∙ Irrelevance-based partial MAPs are useful constructs for domain-independent explanation using belief networks. We look at two definitions for such partial MAPs, and prove important properties that are useful in designing algorithms for computing them effectively. the rogue workoutWebJan 1, 2024 · Recently, a new theoretical tool, the Boomerang Connectivity Table (BCT) and the corresponding boomerang uniformity were introduced to quantify the resistance of a block cipher against boomerang-style attacks. Here we concentrate on two classes (introduced recently) of permutation polynomials over finite fields of even characteristic. the rogue witch

"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 " - Boomerang uniformity of a class of power maps

Boomerang uniformity of a class of power maps

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

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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 … Weba class of power maps with boomerang uniformity four sartaj ul hasan, mohit pal, and pantelimon stanic˘ a˘ ...

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 … WebOn the c-differential uniformity of certain maps over finite fields. ... The c-Differential Uniformity and Boomerang Uniformity of Two Classes of Permutation Polynomials. ... Boomerang uniformity of a class of power maps. SU Hasan, M Pal, P Stanica. Designs, Codes and Cryptography 89, 2627–2636, 2024. 12:

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... 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

WebLet 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 …

WebSep 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... the rogue welsh cake companyWebNov 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. therohana llcWebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). thero gunsWebAbstract. 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 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 track of earlWebMay 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. trackoff elite downloadWebJul 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. track of dreamWebMay 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 … the rohan theatre band