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• W2963732009 abstract "Boolean functions satisfying good cryptographic criteria when restricted to the set of vectors with constant Hamming weight play an important role in the recent FLIP stream cipher (Méaux et al.: in Lecture Notes in Computer Science, vol. 9665, pp. 311–343, Springer, Berlin, 2016). In this paper, we propose a large class of weightwise perfectly balanced (WPB) functions, which is 2-rotation symmetric. This new class of WPB functions is not extended affinely equivalent to the known constructions. We also discuss the weightwise nonlinearity profile of these functions, and present general lower bounds on k-weightwise nonlinearity, where k is a power of 2. Moreover, we exhibit a subclass of the family. By a recursive lower bound, we show that these subclass of WPB functions have very high weightwise nonlinearity profile." @default.
• W2963732009 created "2019-07-30" @default.
• W2963732009 creator A5004041037 @default.
• W2963732009 creator A5034752358 @default.
• W2963732009 date "2018-11-10" @default.
• W2963732009 modified "2023-10-16" @default.
• W2963732009 title "Weightwise perfectly balanced functions with high weightwise nonlinearity profile" @default.
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• W2963732009 doi "https://doi.org/10.1007/s10623-018-0579-x" @default.
• W2963732009 hasPublicationYear "2018" @default.
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