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Boomerang uniformity

Webthe boomerang uniformity of some popular constructions used for building large S-boxes. The aim of this manuscript is to increase our knowledge on the boomerang uniformity of (quadratic) Sboxes in the line of the recent articles [2] and [20]. The paper is structured as follows. In Section 2, we introduce the needed definition- WebMar 1, 2024 · The boomerang uniformity of F 1 (x) = x q − 1 over GF (q 2) is 2. Proof. T o determine the boomerang unifor mity of F 1 , we mainly study the equation system

New Results About the Boomerang Uniformity of Permutation Polynomials ...

WebDec 15, 2024 · The boomerang uniformity of F is defined as β F = max a, b ∈ F p n ∗ B F (a, b). We also say that F is a β F-uniform BCT function. Further, they also obtained the boomerang uniformity of the inverse function F (x) = x 2 n − 2 over F 2 n, for n even, namely, β F = 4, 6, when n ≡ 2 (mod 4), respectively, n ≡ 0 (mod 4). Webapproach which is known as the Boomerang Connectivity Table (BCT), to analyze boomerang style attacks. Boura and Canteaut [6] further studied the BCT and coined the term boomerang uniformity, which is essentially the maximum value in the BCT, to quantify the resistance of a function against the boomerang attack. Later, Li et al. [19] … simon tatham\u0027s portable puzzle collection https://twistedunicornllc.com

1 New Results about the Boomerang Uniformity of …

Webof boomerang uniformity. We consider three different encodings and five S-box sizes. For sizes 4 × 4and5× 5, we manage to obtain optimal solutions. For 6 × 6, we obtain optimal boomerang uniformity for the non-APN function. For larger sizes, the results indicate the problem to be very difficult (even more difficult than evolving ... WebJan 1, 2024 · This paper further study the boomerang uniformity of some non-quadratic differentially 4-uniform functions, including the Bracken-Leander cubic function and three … WebApr 24, 2024 · This paper further study the boomerang uniformity of some non-quadratic differentially 4-uniform functions, including the Bracken-Leander cubic function and three classes of 4- uniform functions constructed by Li, Wang and Yu, obtained from modifying the inverse functions. simon taube barrister

On the Evolution of Boomerang Uniformity in ... - ResearchGate

Category:Investigations on c-boomerang uniformity and perfect nonlinearity

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Boomerang uniformity

Boomerang Uniformity of Popular S-box Constructions

WebIn this paper, we study the boomerang uniformity of F 1 and F 2 via their differential properties. It is shown that the boomerang uniformity of F i ( i = 1, 2) is 2 with some … WebSep 15, 2024 · Moreover, it is known that the boomerang uniformity is not invariant under the CCZ or even extended affine equivalence, while the differential uniformity is invariant. …

Boomerang uniformity

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WebLater in 2024 , Li, Qu, Sun and Li generalized the definition of the boomerang uniformity. In this talk, two power mappings with boomerang uniformity 2 are given, and a graph related to a cryptographic function will be introduced. 报告人简介: 冯荣权，北京大学数学科学学院教授、博士生导师，院长助理。 WebDec 9, 2024 · One example of such a property is called boomerang uniformity, which helps to be resilient against boomerang attacks. How to construct S-boxes with good boomerang uniformity is not always clear. There are algebraic techniques that can result in good boomerang uniformity, but the results are still rare.

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 … WebOct 24, 2024 · The boomerang uniformity is a safety index of S-boxes, which measures the resistance of block ciphers to the boomerang attack. In this paper, we investigate …

WebVol. 2024, no. 3 Abstract Read online The boomerang attack is a cryptanalysis technique against block ciphers which combines two differentials for the upper part and the lower part of the cipher. The dependency between these two differentials then highly affects the complexity of the attack and all its variants. WebDec 15, 2024 · The boomerang uniformityof Fis defined as βF=maxa,b∈Fpn∗BF(a,b). We also say that Fis a βF-uniform BCT function. Further, they also obtained the boomerang uniformity of the inverse function F(x)=x2n−2over F2n, for neven, namely, βF=4,6, when n≡2(mod4), respectively, n≡0(mod4).

WebNov 1, 2024 · PDF We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that their boomerang uniformity over the finite... Find, read and cite all the research you ...

WebMar 1, 2024 · They showed that the boomerang uniformity of the Bracken-Leader function is upper bounded by 24 CV2024 . Recently, Hasan, Pal and Stanica studied the power … simon taylor barnett waddinghamWebAug 1, 2024 · Differential uniformity Boomerang uniformity Permutation APN 1. Introduction Substitution boxes (S-Boxes) are the only nonlinear parts of block ciphers, thus they play important roles to resist several attacks on block ciphers. simon tatham\u0027s minesweeperWebedge on boomerang uniformity of (quadratic) Sboxes in the line of the recent articles [4] and [23]. The paper is structured as follows. In Section 2, we introduce the needed definitions related to the differential uniformity and boomerang uniformity of vectorial functions and briefly discuss these notions. In Section 3, we present simon taylor business daily groupWebOct 1, 2024 · The c-boomerang uniformity of the swapped inverse function. We now investigate the c-BCT for the same swapped inverse function. It was shown in [21] that if … simon tatham putty v0.76WebVery recently, BCT and the boomerang uniformity, the maximum value in BCT, were further studied by Boura and Canteaut. Aiming at providing new insights, we show some new results about BCT and the boomerang uniformity of permutations in terms of theory and experiment in this paper. Firstly, we present an equivalent technique to compute … simon taylor keating chambersWebthe boomerang uniformity of S, denoted b S, to be the maximum value of b S(a;b) for a 6=0 and b 6=0. As with the differential uniformity, the lower the boomerang uniformity the better. Before going any further, we also recall some basic properties of the BCT which were established in [8,11]. Proposition 1. Let S : Fn 2!F n 2 be a permutation ... simon taufel bookWebThe -differential uniformity is recently proposed to reflect resistance against some variants of differential attack. Finding functions with low -differential uniformity is attracting attention from many researchers. F… simont download