具有良好代数免疫的非线性布尔函数

2007 3rd International Workshop on Signal Design and Its Applications in Communications Pub Date : 2007-12-26 DOI:10.1109/IWSDA.2007.4408417

J. Kim, Hong‐Yeop Song

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引用次数: 3

摘要

描述了布尔函数的代数免疫及代数免疫的计算。提出了一种新的具有高代数免疫的平衡n变量布尔函数。当n < 20时，我们检验了新函数的非线性性和当n < 18时的代数免疫性。我们推测它具有最优代数免疫。

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A Nonlinear Boolean Function with Good Algebraic Immunity

We describe the algebraic immunity and calculation of algebraic immunity of boolean functions. We propose a new balanced n-variable boolean function with high algebraic immunity. We check the nonlinearity of the new function for n < 20 and the algebraic immunity of the function in case of n < 18. We conjecture it has optimum algebraic immunity.

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来源期刊

2007 3rd International Workshop on Signal Design and Its Applications in Communications

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