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Title:
Perfect Algebraic Immune Functions
Authors: Meicheng Liu, Yin Zhang, Dongdai Lin
Abstract:A perfect algebraic immune function is a Boolean function with perfect immunity against algebraic and fast algebraic attacks. The main results are that for a perfect algebraic immune balanced function the number of input variables is one more than a power of two; for a perfect algebraic immune unbalanced function the number of input variables is a power of two. Also the Carlet-Feng functions on 2^s+1 variables and the modified Carlet-Feng functions on 2^s variables are shown to be perfect algebraic immune functions. Furthermore, it is shown that a perfect algebraic immune function behaves good against probabilistic algebraic attacks as well.
ePrint: https://eprint.iacr.org/2012/212
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