Results 21 to 30 of about 568,049 (193)
Computing the Algebraic Immunity Efficiently [PDF]
, 2006 The purpose of algebraic attacks on stream and block ciphers is to recover the secret key by solving an overdefined system of multivariate algebraic equations. They become very efficient if this system is of low degree. In particular, they have been used to break stream ciphers immune to all previously known attacks.
Frédéric Didier, Jean-Pierre Tillich
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Perfect Algebraic Immune Functions [PDF]
, 2012 A perfect algebraic immune function is a Boolean function with perfect immunity against algebraic and fast algebraic attacks. The main results are that for a perfect algebraic immune balanced function the number of input variables is one more than a power of two; for a perfect algebraic immune unbalanced function the number of input variables is a ...
Meicheng Liu, Yin Zhang, Dongdai Lin
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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
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Algebraic entropy for algebraic maps [PDF]
, 2015 We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map.
Hone, A. N. W. +4 more
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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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A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
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On the Algebraic Immunity of Weightwise Perfectly Balanced Functions
, 2023 peer ...
Agnese Gini, Pierrick Méaux
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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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