Results 21 to 30 of about 12,980 (220)
Analysis of Extended Algebraic Immunity of Boolean Functions
IERI Procedia, 2012 AbstractAlgebraic immunity (AI) is a new cryptographic criterion proposed against algebraic attacks. Extended algebraic immunity (EAI) extends the concept of algebraic immunity, whose point is that a Boolean function f may be replaced by another Boolean function fc called the algebraic complement of f In this paper, we investigate EAI of Boolean ...
Xiao-wen Xiong, Aiguo Wei, Zhuping Yang
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NOISE IMMUNITY OF THE ALGEBRAIC GEOMETRIC CODES
International Journal of Computing, 2019 Linear block noise-immune codes constructed according to algebraic curves (algebraic geometric codes) are considered, their design properties are evaluated, algorithms of construction and decoding are studied. The energy efficiency of the transmission of discrete messages by M-ary orthogonal signals in the application of algebraic geometric codes is ...
Alexandr Kuznetsov +3 more
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Algebraic Immunities of Functions over Finite Fields
, 2005 A general mathematical definition for a function from $GF(q)^n$ to $GF(q)^m$ to resist to cryptanalytic attacks is developed. It generalize the definition of Algebraic Immunity for Stream Cipher to any finite field and also Block Cipher. This algebraic immunity correspond to equations with low leading term according a monomial ordering.
Gwénolé Ars, Jean‐Charles Faugère
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THE ALGEBRAIC IMMUNITY OF BOOLEAN FUNCTIONS [PDF]
Prikladnaya diskretnaya matematika, 2008 Михаил Эльевич Тужилин
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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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The algebraic immunity of a class of correlation immune H Boolean functions [PDF]
Proceedings of the 2016 International Conference on Advanced Electronic Science and Technology (AEST 2016), 2016 Jinglian Huang, Zhuo Wang
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On the Algebraic Immunity of Coding Systems
Voprosy kiberbezopasnosti, 2019 Vladimir Leontiev +1 more
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On the Algebraic Immunity of Weightwise Perfectly Balanced Functions
, 2023 Agnese Gini, Pierrick Méaux
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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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