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Title:
Boolean functions with all main cryptographic properties
Authors: Ziran Tu, Yingpu Deng
Abstract:In this paper, we propose a class of 2k-variable Boolean functions which have optimal algebraic degree, very high nonlinearity, and are 1-resilient. Based on our newly proposed conjecture, it can be shown that the algebraic immunity of our functions is at least suboptimal. Moreover, when k is odd, the algebraic immunity is actually optimal, and for even k, we find that the algebraic immunity is optimal at least for k\leq 28.
ePrint: https://eprint.iacr.org/2010/518
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