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Title:
A general conjecture similar to T-D conjecture and its applications in constructing Boolean functions with optimal algebraic immunity
Authors: Qingfang Jin, Zhuojun Liu, Baofeng Wu, Xiaoming Zhang
Abstract:In this paper, we propose two classes of 2k-variable Boolean functions, which have optimal algebraic immunity under the assumption that a general combinatorial conjecture is correct. These functions also have high algebraic degree and high nonlinearity. One class contain more bent functions, and the other class are balanced.
ePrint: https://eprint.iacr.org/2011/515
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