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- W2851535173 abstract "Rotation symmetric (RotS) bent functions have attracted much attention due to their cryptographic significance in the last few years. However, few known constructions of RotS bent functions with degree higher than 3 are available in the literature. In this paper, we first introduce a systematic construction of n-variable RotS bent functions for n=2m=4pr, p≥2, r≥1. The new RotS bent functions possess high degree p+1. For a fixed n, the number of such functions is ∑p|m2,p>122p−2 and it leads to a great increase in the number of known RotS bent functions. In addition, using any n-variable RotS bent function with degree p+1 we constructed, we deduce a new class of n-variable RotS bent functions with degree ranging from p+1 to m." @default.
- W2851535173 created "2018-07-19" @default.
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- W2851535173 date "2018-12-01" @default.
- W2851535173 modified "2023-10-13" @default.
- W2851535173 title "Constructions of rotation symmetric bent functions with high algebraic degree" @default.
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- W2851535173 doi "https://doi.org/10.1016/j.dam.2018.05.048" @default.
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