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Computing algebraic immunity by reconfigurable computer [PDF]

, 2012
Proceedings of the 10th International Workshop on Boolean Problems, Freiberg, Germany, Sept. 19-21, 2012, pp.
McCay, M. Eric, Stănică, Pantelimon, Butler, Jon T.   +2 more
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Maximal values of generalized algebraic immunity

Designs, Codes and Cryptography, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keqin Feng, Qunying Liao, Jing Yang
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Algebraic Immunity Hierarchy of Boolean Functions. [PDF]

IACR Cryptol. ePrint Arch., 2007
Algebraic immunity of Boolean functions is a very important concept in recently intro-duced algebraic attacks of stream cipher. For a n-variable Boolean function f, the algebraic immunity AIn(f) takes values in {0, 1,..., ⌈ n 2 ⌉}.
Ziran Tu, Yingpu Deng
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Cyclic codes and algebraic immunity of Boolean functions

2015 IEEE Information Theory Workshop (ITW), 2015
Since 2003, algebraic attacks have received a lot of attention in the cryptography literature. In this context, algebraic immunity quantifies the resistance of a Boolean function to the standard algebraic attack of the pseudo-random generators using it as a nonlinear Boolean function.
Sihem Mesnager, Gérard D. Cohen
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Revised Algorithms for Computing Algebraic Immunity against Algebraic and Fast Algebraic Attacks

2014
Given a Boolean function with n variables, a revised algorithm for computing the algebraic immunity d against conventional algebraic attacks in O(D 2±e ) complexity is described for \(D=\sum _{i = 0}^d {n \choose i}\) and a small e, which corrects and clarifies the most efficient algorithm so far at Eurocrypt 2006.
Lin Jiao, Bin Zhang, Mingsheng Wang
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Algebraic Immunity of Boolean Functions

2016
Algebraic immunity is a cryptographic measure about the resistance against algebraic attack which was first proposed by Courtois in 2003 for stream ciphers. This chapter studies some basic properties of algebraic immunity of Boolean functions, including the construction of annihilators of Boolean functions, upper and lower bounds of algebraic immunity,
Chuan-Kun Wu, Dengguo Feng
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Effects of e-Derivative on Algebraic Immunity, Correlation Immunity and Algebraic Degree of H Boolean Functions

Applied Mechanics and Materials, 2013
Using the derivative of the Boolean function and the e-derivative defined by ourselves as research tools, we study the Effects of e-derivative on algebraic immunity, correlation immunity and algebraic degree of H Boolean functions with the Hamming weight .
Jing Lian Huang, Zhuo Wang, Jing Zhang
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Constructing balanced functions with optimum algebraic immunity

2007 IEEE International Symposium on Information Theory, 2007
Because of the algebraic attacks, a high algebraic immunity is now an absolutely necessary (but not sufficient) property for Boolean functions used in stream ciphers. A difference of only 1 between the algebraic immunities of two functions can make a crucial difference with respect to algebraic attacks.
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Group Algebras and Correlation Immune Functions

2005
In this paper we consider functions $F : {\mathbb F}^{m}_{2} \rightarrow {\{\pm\}}$ which satisfy certain linear and differential properties. The investigation of these properties is motivated by applications in cryptography. The linear property that we are interested in is “correlation immunity”, the differential properties are known under the name
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A Process Algebra Model of the Immune System

2004
Current models of the immune system have proven capable of reproducing the dynamics of the immune system response. However, they lack of formalisms (including semantics) to understand general laws of immune system behaviour. This paper introduces a process algebra with which we can model the immune system and make this model subjected to formal ...
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