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Boomerang uniformity

WebDec 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 … 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。

Investigations on c-boomerang uniformity and perfect nonlinearity

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 … 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). austin tisdale https://dreamsvacationtours.net

The c-Differential Uniformity and Boomerang Uniformity of …

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. 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. WebThe -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… austin tkanina

On the Evolution of Boomerang Uniformity in Cryptographic S …

Category:[PDF] The c-Differential Uniformity and Boomerang …

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Boomerang uniformity

[1912.02640] Cryptographically Strong Permutations from the …

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 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 …

Boomerang uniformity

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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 … 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...

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... 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 …

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 ... 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 ...

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 …

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 … austin to elgin txWebMar 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 austin to jarrell txWebboomerang uniformity of permutations in terms of theory and experiment in this paper. Firstly, we present an equivalent technique to compute BCT and the boomerang … austin to eagle vail