Further constructions of infinite families of bent functions from new permutations and their duals

@article{Mesnager2015FurtherCO,
  title={Further constructions of infinite families of bent functions from new permutations and their duals},
  author={Sihem Mesnager},
  journal={Cryptography and Communications},
  year={2015},
  volume={8},
  pages={229-246}
}
A Boolean function with an even number of variables is called bent if it is maximally nonlinear. This paper extends the recent work of the author on bent functions (“Several new infinite families of bent functions and their duals”, IEEE-IT, 60(7), pp. 4397-4407, 2014). We exhibit several new infinite families of bent functions with their dual (bent) functions. Some of them are obtained via new infinite families of permutations that we provide with their compositional inverses. We introduce… CONTINUE READING

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