Abstract
Boolean functions have found a widespread use in cryptography. In connection with the advent of the 'algebraic' attack on stream ciphers, the Boolean functions, which are used in these ciphers as nonlinear filters, have to possess, among other properties, high algebraic immunity. One more cryptographically significant property of Boolean functions, especially of those utilised in stream ciphers, is nonlinearity. In this connection, the question arises about relations between the nonlinearity of a Boolean function and its algebraic immunity.
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