Relationship between the algebraic immunity of multi-output Boolean functions and Boolean functions

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Wang, Qiu-Yan [1 ]
Jin, Chen-Hui [1 ]
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[1] Electronic Technology Institute, Information Engineering University, Zhengzhou, Henan 450004, China
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This paper presents the algebraic structure of the conditional equations set for multi-output Boolean functions, proves that the algebraic immunity of multi-output Boolean functions is equal to that of a certain Boolean function, which is a combination of the component functions for multi-output Boolean functions, and among all combinations, this one has the minimum algebraic immunity. Hence, it can be concluded that the algebraic immunity of multi-output Boolean functions is equal to the minimum of algebraic immunities of all combinations.
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页码:124 / 127
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