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Relationship Between the Algebraic Immunity of Multi-Output Boolean Functions and Boolean Functions
Author(s): 
Pages: 124-127
Year: Issue:  1
Journal: Acta Electronica Sinica

Keyword:  代数攻击多输出布尔函数代数免疫阶状态函数;
Abstract: 本文给出了多输出布尔函数状态函数集合的代数结构,证明了多输出布尔函数的代数免疫阶等于某布尔函数的代数免疫阶,且该布尔函数是多输出函数的分量函数的一个非零非线性组合.接着证明了该组合的代数免疫阶是所有非零非线性组合中最小的,从而得出多输出布尔函数的代数免疫阶等于其所有非零非线性组合代数免疫阶的最小值.
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