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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 0001
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An algorithm for constructing S-boxes for block symmetric encryption
Universal Journal of Mathematics and Applications, 2018 This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, $S(8\times 8)$-box
Alijon Bozorbayevicha Sattarov +1 more
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On the Algebraic Immunity of Weightwise Perfectly Balanced Functions
, 2023 peer ...
Agnese Gini, Pierrick Méaux
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Complex & Intelligent Systems, 2023 Robustness of modern information confidentiality algorithm depends on its individual components. Modern block ciphers highly depend on two components namely confusion and diffusion.
Nabilah Abughazalah +2 more
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Constructing Higher Nonlinear Odd-Variable RSBFs With Optimal AI and Almost Optimal FAI
IEEE Access, 2019 Rotation symmetric Boolean functions (RSBFs) are nowadays studied a lot because of its easy operations and good performance in cryptosystem. This paper constructs a new class of odd-variable RSBFs with optimal algebraic immunity (AI). The nonlinearity of
Yindong Chen +5 more
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A Substitution Box for Lightweight Ciphers to Secure Internet of Things
Journal of King Saud University: Computer and Information Sciences, 2023 The Internet of Things is a resource-constrained device that demands lightweight cryptographic solutions to achieve high performance and optimal security.
V. Panchami, Mahima Mary Mathews
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Fast Algebraic Immunity of
IEEE Access, 2019 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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New bound of algebraic immunity of a class of Boolean function
Tongxin xuebao, 2016 Algebraic immunity quantified the resistance of a Boolean function to the algebraic attack.Recently,Mesnager,et al showed that there were direct linked between the annihilators used in algebraic attacks and the coding theory.They showed that the lower ...
Ye TIAN +3 more
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Fast algebraic immunity of Boolean functions
Advances in Mathematics of Communications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mesnager, Sihem, Cohen, Gérard
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Boolean functions with restricted input and their robustness; application to the FLIP cipher
IACR Transactions on Symmetric Cryptology, 2017 We study the main cryptographic features of Boolean functions (balancedness, nonlinearity, algebraic immunity) when, for a given number n of variables, the input to these functions is restricted to some subset E ...
Claude Carlet +2 more
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