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 .
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
Tel.: +1 703 830 6300
Fax: +1 703 830 2300 firstname.lastname@example.org
(Corporate matters and books only) IOS Press c/o Accucoms US, Inc.
For North America Sales and Customer Service
West Point Commons
Lansdale PA 19446
Tel.: +1 866 855 8967
Fax: +1 215 660 5042 email@example.com