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- W2800532678 abstract "Rotation symmetric Boolean functions have been used as components of different cryptosystems. In this paper, two classes of balanced rotation symmetric Boolean functions having optimal algebraic immunity on odd number of variables are constructed. We give a lower bound on the algebraic degree of the first class of functions, and prove that the n -variable functions in the second class has optimal algebraic degree if n ≠ 2 m + 1 for m > 2 . Moreover, it is shown that both classes of functions have much better nonlinearity than all the previously obtained rotation symmetric Boolean functions with optimal algebraic immunity, and have good behavior against fast algebraic attacks at least for small numbers of input variables. • We propose a class of RSBFs with balancedness, high algebraic degree, high nonlinearity and optimal AI. • The nonlinearity of the proposed RSBFs is much higher than all the previously obtained RSBFs with optimal algebraic immunity. • The proposed RSBFs have good behavior against fast algebraic attacks at least for small numbers of input variables." @default.
- W2800532678 created "2018-05-17" @default.
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- W2800532678 date "2018-08-01" @default.
- W2800532678 modified "2023-10-12" @default.
- W2800532678 title "Constructions of balanced odd-variable rotation symmetric Boolean functions with optimal algebraic immunity and high nonlinearity" @default.
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- W2800532678 doi "https://doi.org/10.1016/j.tcs.2018.04.040" @default.
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