Near bent functions on a hyperplane

@article{Dillon2008NearBF,
  title={Near bent functions on a hyperplane},
  author={J. F. Dillon and Gary McGuire},
  journal={Finite Fields and Their Applications},
  year={2008},
  volume={14},
  pages={715-720}
}
We present a general criterion for near bent functions to be bent on a hyperplane. Let n = 3k ± 1 be odd and let d = 4k −2k +1. We show that the Kasami–Welch function Tr(xd) is a bent function when restricted to the hyperplane of trace 0 elements in F2n . Published by Elsevier Inc. 

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