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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...
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.
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...
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...

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