Cryptology ePrint Archive: Report 2010/518

Boolean functions with all main cryptographic properties

Ziran Tu and 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 $k\leq 28$.

Category / Keywords: foundations /

Date: received 8 Oct 2010

Contact author: dengyp at amss ac cn

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Version: 20101012:131145 (All versions of this report)

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