ClassicalBalanced, AntiBalanced and NeutroBalanced functions

In this paper, we extend the concepts of Neutrosophy to Boolean function and define ClassicalBalanced, AntiBalanced and NeutroBalanced functions. We consider functions of the form f(x) = Tr([x.sup.d]), where the exponent d may be Gold exponent, Kasami exponent, Welch exponent or any arbitrary positive integer. We, for different values of d, examine nature of these functions with respect to the above stated three categories. Keywords: Balanced function; Neutrosophy; AntiBalanced function; NeutroBalanced function; Cryptography.