The algebraic immunity and the optimal algebraic immunity functions of a class of correlation immune H Boolean functions [PDF]
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 [PDF]
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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Perfect Algebraic Immune Functions [PDF]
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 Bound of Fast Algebraic Immunity of Constructions With BPR Using a Four-Disjoint-Part Support [PDF]
Boolean functions are used for stream cipher ought to be a high fast algebraic immunity (FAI) to effectively against fast algebraic attacks. In the previous research methods, there is no suitable method to gain the FAI of Boolean functions using ...
Kai Xu, Ying Zhang, Jing Wang
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Construction of the optimal algebraic immunity Boolean functions with correlation immunity from transformation RSBFs [PDF]
In this paper, we discuss the effect of the cryptographic properties of translation transformation rotation symmetric Boolean functions. On construction of rotation symmetric Boolean functions with the optimal algebraic immunity, we construct correlation
Huang Jinglian
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Fast Algebraic Immunity of
Boolean functions should possess high fast algebraic immunity (FAI) when it is used in stream ciphers in order to stand up to fast algebraic attacks. However, in previous research, the FAI of Boolean functions was usually calculated by computer.
Yindong Chen +3 more
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A Lower Bound of Fast Algebraic Immunity of a Class of 1-Resilient Boolean Functions [PDF]
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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Algebraic immunity of Boolean function [PDF]
Алгебраический метод криптоанализа, основанный на решении систем уравнений над конечным полем, является одним из современных методов криптоанализа, широко применяющихся в процессе оценки стойкости поточного алгоритма шифрования. На практике в составе большинства поточных алгоритмов шифрования в качестве основных преобразований применяются булевы ...
Alizhon Sattarov +2 more
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Fast Algebraic Immunity of Boolean Functions and LCD Codes [PDF]
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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On the fast algebraic immunity of threshold functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierrick Méaux
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