Results 111 to 120 of about 2,067,807 (144)

On the Fast Algebraic Immunity of Majority Functions [PDF]

open access: yesInternational Conference on Cryptology and Information Security in Latin America, 2019
In 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 ...
Pierrick Méaux
semanticscholar   +6 more sources

Construction of Highly Nonlinear 1-Resilient Boolean Functions With Optimal Algebraic Immunity and Provably High Fast Algebraic Immunity

IEEE Transactions on Information Theory, 2017
In 2013, Tang, Carlet, and Tang [IEEE TIT 59(1): 653–664, 2013] presented two classes of Boolean functions. The functions in the first class are unbalanced and the functions in the second one are balanced. Both of those two classes of functions have high nonlinearity, high algebraic degree, optimal algebraic immunity, and high fast algebraic immunity ...
Zhengchun Zhou   +2 more
exaly   +4 more sources

Highly Nonlinear Boolean Functions With Optimal Algebraic Immunity and Good Behavior Against Fast Algebraic Attacks

IEEE Transactions on Information Theory, 2013
Inspired by the previous work of Tu and Deng, we propose two infinite classes of Boolean functions of 2k variables where k ≥ 2. The first class contains unbalanced functions having high algebraic degree and nonlinearity. The functions in the second one are balanced and have maximal algebraic degree and high nonlinearity (as shown by a lower bound that ...
Claude Carlet, Xiaohu Tang, Deng TANG
exaly   +5 more sources

Results on highly nonlinear Boolean functions with provably good immunity to fast algebraic attacks

Information Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dongdai Lin, Meicheng Liu
exaly   +5 more sources

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