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Full-Text Articles in Physical Sciences and Mathematics
Construction Of Highly Non-Linear Cubic Homogeneous Boolean Functions On Gf2n+L (2), Jing Wu, Tianbing Xia, Jennifer Seberry
Construction Of Highly Non-Linear Cubic Homogeneous Boolean Functions On Gf2n+L (2), Jing Wu, Tianbing Xia, Jennifer Seberry
Faculty of Informatics - Papers (Archive)
The work studies highly nonlinear Boolean functions in GF2n+1(2), i.e. for the dimensions where bent functions do not exist. We prove that for every n > 2 there exist homogeneous Boolean functions on GF(2)2n+1 with non-linearity greater than or equal to 22n — 2n and without linear structures.