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On Properties of Correlation Immune Functions with High Nonlinearity
Anton Botev
283 - 288
10.3233/978-1-58603-878-6-283
NATO Science for Peace and Security Series - D: Information and Communication Security
Volume 18: Boolean Functions in Cryptology and Information Security
Abstract

We present a new large family of correlation immune Boolean functions having high nonlinearity. This family includes some known classes of highly nonlinear m-resilient functions as particular cases. We state that functions of this family have a growing algebraic immunity (together with the growth of inputs). Velocity of such a growth is at least .

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