Results 111 to 120 of about 475 (134)
Mathematical modeling of cholera dynamics with intrinsic growth considering constant interventions. [PDF]
Brhane KW, Ahmad AG, Hina H, Emadifar H.
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ChebIoD: a Chebyshev polynomial-based lightweight authentication scheme for internet of drones environments. [PDF]
Al-Mekhlafi ZG +9 more
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In 2013, Tang, Carlet, and Tang [IEEE TIT 59(1): 653–664, 2013] presented two classes of Boolean functions. The functions in the first class are unbalanced and the functions in the second one are balanced. Both of those two classes of functions have high nonlinearity, high algebraic degree, optimal algebraic immunity, and high fast algebraic immunity ...
Deng Tang, Claude Carlet, Xiaohu Tang
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yindong Chen
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Using Wiedemann’s Algorithm to Compute the Immunity Against Algebraic and Fast Algebraic Attacks
We show in this paper how to apply well known methods from sparse linear algebra to the problem of computing the immunity of a Boolean function against algebraic or fast algebraic attacks. For an n-variable Boolean function, this approach gives an algorithm that works for both attacks in O(n2nD) complexity and O(n2n) memory. Here and d corresponds to
Frédéric Didier
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On the Fast Algebraic Immunity of Majority Functions [PDF]
In different contexts such as filtered LFSR, Goldreich’s PRG, and FLIP stream ciphers, the security of a cryptographic primitive mostly depends on the algebraic properties of one Boolean function. Since the Seventies, more and more efficient attacks have been exhibited in this context, related to more and more general algebraic properties, such as the ...
Pierrick Méaux
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Results on highly nonlinear Boolean functions with provably good immunity to fast algebraic attacks
Information Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meicheng Liu, Dongdai Lin
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Designs, Codes, and Cryptography, 2010
Let \(\{b_1,\dots,b_n\}\) be a basis of \({\mathbb F}_{2^n}\). By identifying every element \(x = \sum_{i=1}^n x_ib_i\) of \({\mathbb F}_{2^n}\) with the \(n\)-tuple of its coordinates \((x_1,\dots,x_n)\), we define a natural correspondence between Boolean functions and polynomials functions from \( {\mathbb F}_{2^n}\) to \( {\mathbb F}_2\).
Panagiotis Rizomiliotis +1 more
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Let \(\{b_1,\dots,b_n\}\) be a basis of \({\mathbb F}_{2^n}\). By identifying every element \(x = \sum_{i=1}^n x_ib_i\) of \({\mathbb F}_{2^n}\) with the \(n\)-tuple of its coordinates \((x_1,\dots,x_n)\), we define a natural correspondence between Boolean functions and polynomials functions from \( {\mathbb F}_{2^n}\) to \( {\mathbb F}_2\).
Panagiotis Rizomiliotis +1 more
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Revised Algorithms for Computing Algebraic Immunity against Algebraic and Fast Algebraic Attacks
Given a Boolean function with n variables, a revised algorithm for computing the algebraic immunity d against conventional algebraic attacks in O(D 2±e ) complexity is described for \(D=\sum _{i = 0}^d {n \choose i}\) and a small e, which corrects and clarifies the most efficient algorithm so far at Eurocrypt 2006.
Lin Jiao, Bin Zhang, Mingsheng Wang
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