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- W2003268544 abstract "Perfect nonlinear functions from a finite group G to another one H are those functions f: G →H such that for all nonzero α ∈ G, the derivative $d_{alpha}f: x mapsto f(alpha x) f(x)^{-1}$ is balanced. In the case where both G and H are Abelian groups, f: G →H is perfect nonlinear if, and only if, f is bent, i.e., for all nonprincipal character χ of H, the (discrete) Fourier transform of χ ∘ f has a constant magnitude equals to |G|. In this paper, using the theory of linear representations, we exhibit similar bentness-like characterizations in the cases where G and/or H are (finite) non Abelian groups. Thus we extend the concept of bent functions to the framework of non Abelian groups." @default.
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- W2003268544 date "2011-11-15" @default.
- W2003268544 modified "2023-10-15" @default.
- W2003268544 title "Non Abelian bent functions" @default.
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- W2003268544 doi "https://doi.org/10.1007/s12095-011-0058-y" @default.
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