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- W2043371617 abstract "Using the derivative of the Boolean function and the e-derivative defined by ourselves as research tools, going deep into the internal structure of Boolean functions, we study relationship of algebraic degree, correlation immunity and annihilators for H Boolean functions with a specific Hamming weight. We obtain the algebraic degree of the e-derivative which is a component of H Boolean functions decide the algebraic degree of H Boolean functions. Besides, we describe the characteristics of the algebraic degree of e-derivative for the correlation immune H Boolean functions. We also check the e-derivative of H Boolean functions can put annihilators, correlation immunity and algebraic degree of H Boolean functions together. Meanwhile, we also deduce a formula method to solving annihilators of H Boolean functions. Such researches are important in cryptographic primitive designs, and have significance and role in the theory and application range of cryptosystems." @default.
- W2043371617 created "2016-06-24" @default.
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- W2043371617 date "2014-07-01" @default.
- W2043371617 modified "2023-10-02" @default.
- W2043371617 title "Relations among E-Derivative, Derivative, Algebraic Degree, Correlation Immunity and Annihilators for H Boolean Functions" @default.
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- W2043371617 doi "https://doi.org/10.4028/www.scientific.net/amr.989-994.2599" @default.
- W2043371617 hasPublicationYear "2014" @default.
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