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A method for obtaining lower bounds on the higher order nonlinearity of Boolean function
Boolean function algebraic immunity
2014/3/12
Obtainment of exact value or high lower bound on the $r$-th order nonlinearity of Boolean function is a very complicated problem (especial if $r > 1$). In a number of papers lower bounds on the $r$-th...
A lower bound on the higher order nonlinearity of algebraic immune functions
lower bound higher order nonlinearity algebraic immune functions
2009/3/19
We extend the lower bound, obtained by M. Lobanov, on the first order nonlinearity
of functions with given algebraic immunity, into a bound on the higher order
nonlinearities.
IMPROVING THE LOWER BOUND ON THE HIGHER ORDER NONLINEARITY OF BOOLEAN FUNCTIONS WITH PRESCRIBED ALGEBRAIC IMMUNITY
stream cipher block cipher algebraic attack
2008/9/5
The recent algebraic attacks have received a lot of attention
in cryptographic literature. The algebraic immunity of a Boolean
function quantifies its resistance to the standard algebraic attacks of...
Generalized Correlation and Higher Order Nonlinearity for Probabilistic Algebraic Attacks Description
cipher algebraic attack Boolean function algebraic immunity
2008/6/6
Algebraic attacks are relatively new and interesting subject in cryptanalysis. The algebraic attacks where introduced in [1], where several possible attack’s scenarios where given. The big attention w...