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Construction of Boolean Functions with Optimal Algebraic Immunity
2016Boolean functions with good cryptographic properties act as important nonlinear components in symmetric cryptography which is often used to encrypt stored data for cloud computing. In this paper, we develop a new class of Boolean functions with optimal algebraic immunity by utilizing the Reed-Muller code. In addition, our new functions are balanced and
Hang Liu, Dong Zheng 0001, Qinglan Zhao
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Using Wiedemann’s Algorithm to Compute the Immunity Against Algebraic and Fast Algebraic Attacks
2006We show in this paper how to apply well known methods from sparse linear algebra to the problem of computing the immunity of a Boolean function against algebraic or fast algebraic attacks. For an n-variable Boolean function, this approach gives an algorithm that works for both attacks in O(n2nD) complexity and O(n2n) memory. Here and d corresponds to
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On Symmetric Boolean Functions With High Algebraic Immunity on Even Number of Variables
IEEE Transactions on Information Theory, 2011Haibin Kan, Quanshui Wu
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On the 2m-variable symmetric Boolean functions with maximum algebraic immunity
Science in China Series F: Information Sciences, 2008Longjiang Qu
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A note on the fast algebraic immunity and its consequences on modified majority functions
Advances in Mathematics of Communications, 2020Deng TANG
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The Exact Fast Algebraic Immunity of Two Subclasses of the Majority Function
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016Rong Luo, Deng TANG, Du Xiaoni
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On (2m + 1)-variable symmetric Boolean functions with submaximum algebraic immunity 2m−1
Science in China Series A: Mathematics, 2009Qunying Liao, Keqin Feng
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