Results 1 to 10 of about 1,097 (148)
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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Extended algebraic immunity of symmetric Boolean function
Tongxin xuebao, 2014 Boolean functions with optimal algebraic immunity play an important role in stream ciphers.Based on the univariate polynomial representation of Boolean functions,a construction of Boolean functions with maximum extended algebraic immunity (EAI) is ...
Gao-fei WU +3 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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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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Fast Algebraic Immunity of Boolean Functions and LCD Codes [PDF]
IEEE Transactions on Information Theory, 2021 Nowadays, the resistance against algebraic attacks and fast algebraic attacks are considered as an important cryptographic property for Boolean functions used in stream ciphers. Both attacks are very powerful analysis concepts and can be applied to symmetric cryptographic algorithms used in stream ciphers.
Sihem Mesnager, Chunming Tang
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High-speed train cooperative control based on fractional-order sliding mode adaptive algorithm [PDF]
Railway Sciences, 2023 Purpose – This study aims to propose an adaptive fractional-order sliding mode controller to solve the problem of train speed tracking control and position interval control under disturbance environment in moving block system, so as to improve the ...
Junting Lin, Mingjun Ni, Huadian Liang
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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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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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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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