Construction of bent functions from near-bent functions |
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Authors: | Gregor Leander |
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Institution: | a Department of Mathematics, Technical University Denmark, Denmark b School of Mathematical Sciences, University College Dublin, Ireland |
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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. |
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Keywords: | Bent function Weakly normal Fourier transform |
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