The algebraic immunity and the optimal algebraic immunity functions of a class of correlation immune H Boolean functions
School of Electrical Engineering, Northwest University for Nationalities, Lanzhou, 730030, China
a Huang Jinglian: email@example.com
We put forward an efficient method to study the algebraic immunity of H Boolean functions with Hamming weight of 2n-1 + 2n-2, getting the existence of the higher-order algebraic immunity functions with correlation immunity. We also prove the existing problem of the above 2-order algebraic immunity functions and the optimal algebraic immunity functions. Meanwhile, we solve the compatibility of algebraic immunity and correlation immunity. What is more, the main theoretical results are verified through the examples and are revealed to be correct. Such researches are important in cryptographic primitive designs, and have significance and role in the theory and application range of cryptosystems.
© Owned by the authors, published by EDP Sciences, 2016
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