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Construction of bent functions from near-bent functions

Authors
Journal
Journal of Combinatorial Theory Series A
0097-3165
Publisher
Elsevier
Publication Date
Volume
116
Issue
4
Identifiers
DOI: 10.1016/j.jcta.2008.12.004
Keywords
  • Bent Function
  • Weakly Normal
  • Fourier Transform

Abstract

Abstract We give a construction of bent functions in dimension 2 m from near-bent functions in dimension 2 m − 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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