Constructing Symmetric Boolean Functions With Maximum Algebraic Immunity

Longjiang Qu, Keqin Feng, Feng Liu, Lei Wang · IEEE Transactions on Information Theory · 2009

Symmetric Boolean functions with even variables2kand maximum algebraic immunity AI(f)=khave been constructed in Braeken's thesis (2006). In this paper, we show more constructions of such Boolean functions including the generalization of a result and prove a conjecture raised in Braeken's thesis (2006).

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