2024 Boomerang uniformity

Boomerang uniformity

Author: lbuy

August undefined, 2024

WebApr 9, 2024 · The boomerang uniformity measures the resistance of block ciphers to boomerang attacks and has become an essential criterion of the substitution box (S … WebOct 26, 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.

arXiv:1903.00501v1 [cs.CR] 1 Mar 2024

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). 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 … tela melange

New Results about the Boomerang Uniformity of Permutation Polynomials

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] … 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). 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 ... tela medida

The Boomerang Uniformity of Power Permutations x 2 k −1 …

Low $c$-differential and $c$-boomerang uniformity of the swapped ...

Webthe 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 ... 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 … telamemoWebMar 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 tela mental

"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 ... " - Boomerang uniformity

Boomerang uniformity

WebSep 19, 2024 · Based upon the -differential notion we defined in \cite {EFRST20} and -boomerang uniformity from \cite {S20}, in this paper we characterize the -differential and -boomerang uniformity for the -swapped inverse function in characteristic~: we show that for all~, the -differential uniformity is upper bounded by~ and the -boomerang … WebOct 1, 2024 · The boomerang uniformity of the power maps of the type x 2 t −1 over F 2 n has been considered in Ref. [15], where the authors give bounds on the boomerang uniformity in terms of the...

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WebMar 1, 2024 · [Submitted on 1 Mar 2024] Two Classes of Power Mappings with Boomerang Uniformity 2 Zhen Li, Haode Yan Let be an odd prime power. Let and be power mappings over , where and . In this paper, we study the the boomerang uniformity of and via their differential properties. It is shown that, the boomerang uniformity of () is 2 with some …

Webedge 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 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 …

WebOct 1, 2024 · On the boomerang uniformity of a class of permutation quadrinomials over finite fields - ScienceDirect Discrete Mathematics Volume 345, Issue 10, October 2024, 113000 On the boomerang uniformity of a class of permutation quadrinomials over finite fields Yanan Wu a , Lisha Wang a , Nian Li a , Xiangyong Zeng a , Xiaohu Tang a b Add … Webthe boomerang uniformity as been determined [3,12,26]. Note that amongst these functions,the Gold, Bracken-Leanderand the Bracken-Tan-Tanfunctions have alge-braic degrees 2 or 3. In the last years, many works on permutations with low differential uniformity have been done. Several constructions of differentially 4 …

Web报告题目：Two classes of power mappings with boomerang uniformity 2主讲人：冯荣权教授（北京大学）报告时间：2024年12月20日 15:00-16:00 报告地点：腾讯会议ID：949-990-498 主办单位：数学科学学院报告摘要：In 1999, Wagner introduced a new...

WebOct 1, 2024 · On the boomerang uniformity of a class of permutation quadrinomials over finite fields Request PDF Home Mathematical Sciences Algebra Finite Fields On the boomerang uniformity of a class of... tela memoryWebVery 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 … telamentWebAug 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. tel amep banguWebMay 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 … tela menu 100 0 0WebDec 5, 2024 · Download PDF Abstract: In this paper, we present infinite families of permutations of $\mathbb{F}_{2^{2n}}$ with high nonlinearity and boomerang uniformity $4$ from generalized butterfly structures. Both open and closed butterfly structures are considered. It appears, according to experiment results, that open butterflies do not … tela merinoWebJan 17, 2024 · In EUROCRYPT 2024, Cid et al. \\cite{BCT2024} introduced a new concept on the cryptographic property of S-boxes: Boomerang Connectivity Table (BCT for short) for evaluating the subtleties of boomerang-style attacks. Very recently, BCT and the boomerang uniformity, the maximum value in BCT, were further studied by Boura and … tela menu2WebThe competition takes place at 9:00 am Sunday, May 28th (throwers be there at 8:30 AM please!). Following the competition, there will be dinner and awards back at Chicago … tela mesa poker