Results 1 to 10 of about 113 (100)
The algebraic immunity and the optimal algebraic immunity functions of a class of correlation immune H Boolean functions [PDF]
MATEC Web of Conferences, 2016 We put forward an efficient method to study the algebraic immunity of H Boolean functions with Hamming weight of 2n-1 + 2n-2, getting the existence of the higher-order algebraic immunity functions with correlation immunity.
Huang Jinglian, Wang Zhuo
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On the algebraic immunity of multiplexer Boolean functions
Journal of Mathematical Cryptology, 2022 A multiplexer generator is a device that accepts two or more inputs and based on some logic sends one of them as output. In a special case when inputs to a multiplexer generator are 2k{2}^{k} bits and one of them is selected according to the value of a ...
Mishra Prasanna R., Pandey Shashi Kant
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On the algebraic immunity of direct sum constructions [PDF]
Discrete Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cogent Engineering, 2022 This paper considers a new method for obtaining an S-box, which is one of the nonlinear transformations used in modern block-symmetric cipher systems.
Ardabek Khompysh +4 more
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Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks [PDF]
, 2006 In this paper we propose several efficient algorithms for assessing the resistance of Boolean functions against algebraic and fast algebraic attacks when implemented in LFSR-based stream ciphers. An algorithm is described which permits to compute the algebraic immunity d of a Boolean function with n variables in $\mathcal{O}(D^2)$ operations, for $D ...
Armknecht, Frederik +5 more
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On the fast algebraic immunity of threshold functions
Cryptography and Communications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Lower Bound of Fast Algebraic Immunity of a Class of 1-Resilient Boolean Functions
IEEE Access, 2019 Boolean functions should possess high fast algebraic immunity when used in stream ciphers in order to stand up to fast algebraic attacks. However, in previous research, the fast algebraic immunity of Boolean functions was usually calculated by the ...
Yindong Chen +3 more
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Perfect Algebraic Immune Functions [PDF]
, 2012 A perfect algebraic immune function is a Boolean function with perfect immunity against algebraic and fast algebraic attacks. The main results are that for a perfect algebraic immune balanced function the number of input variables is one more than a power of two; for a perfect algebraic immune unbalanced function the number of input variables is a ...
Meicheng Liu, Yin Zhang, Dongdai Lin
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IEEE Access, 2019 As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen +3 more
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Computing the Algebraic Immunity Efficiently [PDF]
, 2006 The purpose of algebraic attacks on stream and block ciphers is to recover the secret key by solving an overdefined system of multivariate algebraic equations. They become very efficient if this system is of low degree. In particular, they have been used to break stream ciphers immune to all previously known attacks.
Frédéric Didier, Jean-Pierre Tillich
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