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Construction of Boolean Function with Maximum Algebraic Immunity
Advanced Materials Research, 2012To resist algebraic attacks, a high algebraic immunity is now an important criteria for Boolean functions used in stream ciphers. In recent years, several constructions of Boolean functions with maximum algebraic immunity (MAI) have been investigated. In this survey paper, we review the recent constructions of Boolean functions with MAI, and classify ...
Xiao Wen Xiong, Ai Guo Wei, Kai Yin
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Using Wiedemann’s Algorithm to Compute the Immunity Against Algebraic and Fast Algebraic Attacks
2006We 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
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On the Fast Algebraic Immunity of Majority Functions
2019In 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 ...
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A Process Algebra Model of the Immune System
2004Current models of the immune system have proven capable of reproducing the dynamics of the immune system response. However, they lack of formalisms (including semantics) to understand general laws of immune system behaviour. This paper introduces a process algebra with which we can model the immune system and make this model subjected to formal ...
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On Axtended Algebraic Immunity of Boolean Functions
Journal of Electronics & Information Technology, 2011Xiao-wen Xiong, Long-jiang Qu, Chao Li
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