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Construction of bent functions from near-bent functions
Authors:Gregor Leander
Institution:a Department of Mathematics, Technical University Denmark, Denmark
b School of Mathematical Sciences, University College Dublin, Ireland
Abstract:We give a construction of bent functions in dimension 2m from near-bent functions in dimension 2m−1. In particular, we give the first ever examples of non-weakly-normal bent functions in dimensions 10 and 12, which demonstrates the significance of our construction.
Keywords:Bent function  Weakly normal  Fourier transform
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