Results 11 to 20 of about 2,067,807 (144)
Fast Algebraic Immunity of Boolean Functions and LCD Codes [PDF]
IEEE Transactions on Information Theory, 2020 Nowadays, the resistance against algebraic attacks and fast algebraic attacks are considered as an important cryptographic property for Boolean functions used in stream ciphers.
Sihem Mesnager, Chunming Tang
semanticscholar +3 more sources
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.
Chunming Tang, Sihem Mesnager
exaly +6 more sources
Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks [PDF]
International Conference on the Theory and Application of Cryptographic Techniques, 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
openaire +4 more sources
An Infinite Class of Balanced Functions with Optimal Algebraic Immunity, Good Immunity to Fast Algebraic Attacks and Good Nonlinearity [PDF]
International Conference on the Theory and Application of Cryptology and Information Security, 2008 After the improvement by Courtois and Meier of the algebraic attacks on stream ciphers and the introduction of the related notion of algebraic immunity, several constructions of infinite classes of Boolean functions with optimum algebraic immunity have been proposed.
Claude Carlet, Keqin Feng
openaire +3 more sources
Hybrid tabu search algorithm for excellent Boolean function
Tongxin xuebao, 2022 Boolean function in symmetric cryptographic algorithm must satisfy excellent cryptographic criteria to ensure the security of the algorithm.By combining the advantages of tabu search algorithm and hill climbing algorithm, a new heuristic generation ...
Weiqiong WANG +3 more
doaj +2 more sources
IEEE Access, 2019 As a part of the field of cryptography, rotation symmetric Boolean functions have rich cryptographic significance. In this paper, based on the knowledge of integer compositions, we present a new construction of odd-variable rotation symmetric Boolean ...
Yindong Chen +3 more
doaj +1 more source
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
doaj +1 more source
Constructing Two Classes of Boolean Functions With Good Cryptographic Properties
IEEE Access, 2019 Wu et al. proposed a generalized Tu-Deng conjecture over $\mathbb {F}_{2^{rm}}\times {\mathbb {F}_{2^{m}}}$ , and constructed Boolean functions with good properties. However the proof of the generalized conjecture is still open.
Yindong Chen +3 more
doaj +1 more source
Algebraic Description and Simultaneous Linear Approximations of Addition in Snow 2.0. [PDF]
, 2008 In this paper we analyse the algebraic properties over the field GF(2) of the addition modulo 2pn. We look at implicit quadratic equations describing this operation, and at probabilistic conditional linear equations.
Nicolas T. Courtois +3 more
core +1 more source
Discrete Applied Mathematics, 2020 In this paper we put forward a method to construct balanced Boolean functions by modifying the Tang–Carlet–Tang functions with the help of functions in Generalized Maiorana–McFarland class.
Xuewei Hu, Bo Yang, Mei-Juan Huang
semanticscholar +1 more source