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On the Resistance of Prime-variable Rotation Symmetric Boolean Functions against Fast Algebraic Attacks
Boolean functions cryptography fast algebraic attacks
2015/12/30
Boolean functions used in stream ciphers should have many cryptographic properties in order to help resist different kinds of cryptanalytic attacks. The resistance of Boolean functions against fast al...
Evolving balanced Boolean functions with optimal resistance to algebraic and fast algebraic attacks, maximal algebraic degree, and very high nonlinearity
Algebraic immunity nonlinearity metaheuristics simulated annealing
2013/2/21
Using simulated annealing, we derive several equivalence classes of balanced Boolean functions with optimum algebraic immunity, fast algebraic resistance, and maximum possible algebraic degree. For nu...
Highly Nonlinear Boolean Functions with Optimal Algebraic Immunity and Good Behavior Against Fast Algebraic Attacks
Boolean functions balancedness algebraic immunity fast algebraic attack
2011/7/25
In this paper, we present a new combinatorial conjecture about binary strings. Based on the new conjecture, two classes of Boolean functions of $2k$ variables with optimal algebraic immunity are propo...
Highly Nonlinear Boolean Functions with Optimal Algebraic Immunity and Good Behavior Against Fast Algebraic Attacks
secret-key cryptography / Boolean functions balancedness algebraic immunity fast algebraic attack algebraic degree nonlinearity
2012/3/27
In this paper, we present a new combinatorial conjecture about binary strings. Based on the new conjecture, two classes of Boolean functions of $2k$ variables with optimal algebraic immunity are propo...
Rewriting Variables: the Complexity of Fast Algebraic Attacks on Stream Ciphers
Complexity Fast Algebraic Attacks Stream Ciphers
2009/3/25
Recently proposed algebraic attacks [AK03,CM03] and fast algebraic attacks [A04,C03] have provided the best analyses against some deployed LFSR-based ciphers. The process complexity is exponential in ...
Notion of Algebraic Immunity and Its evaluation Related to Fast Algebraic Attacks
Algebraic Attacks Annihilators Boolean Functions Fast Algebraic Attacks
2008/10/21
It has been noted recently that algebraic (annihilator) immunity
alone does not provide sufficient resistance against algebraic attacks.
In this regard, given a Boolean function f, just checking the...