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- W3029834583 abstract "It is proved that the maximal possible nonlinearity of n- variable m-resilient Boolean function is 2n-1-2m+1 for 2n-7/ 3 ≤ m ≤ n-2. This value can be achieved only for optimized functions (i. e. functions with an algebraic degree n - m - 1). For 2n-7/3 ≤ m ≤ n - log2 n+2/3 - 2 it is suggested a method to construct an n-variable m-resilient function with maximal possible nonlinearity 2n-1 -2m+1 such that each variable presents in ANF of this function in some term of maximal possible length n - m - 1." @default.
- W3029834583 created "2020-06-05" @default.
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- W3029834583 date "2000-01-01" @default.
- W3029834583 modified "2023-09-23" @default.
- W3029834583 title "On Resilient Boolean Functions with Maximal Possible Nonlinearity." @default.
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