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通过讨论向量布尔函数零化子的代数次数,对向量布尔函数的代数免疫性质进行研究,得出其置换不变性,即在输入变量作仿射变换和输出变量作置换之后仍然保持不变,并得出向量布尔函数代数免疫与线性组合函数重量、Walsh谱以及非线性度之间的关系.
By discussing the algebraic numbers of annunciators of vector Boolean functions, the algebraic immune properties of vector Boolean functions are studied, and the permutation invariance is obtained, that is, the algebraic immune properties of the vector Boolean functions remain unchanged after the input variables are replaced by affine transformations and output variables, The relationship between vector Boolean algebraic immunity and linear combination function weight, Walsh spectrum and nonlinearity was obtained.