Bent vectorial functions and linear codes from o-polynomials

@article{Mesnager2015BentVF,
  title={Bent vectorial functions and linear codes from o-polynomials},
  author={Sihem Mesnager},
  journal={Des. Codes Cryptography},
  year={2015},
  volume={77},
  pages={99-116}
}
The main topics and interconnections arising in this paper are symmetric cryptography (S-boxes), coding theory (linear codes) and finite projective geometry (hyperovals). The paper describes connections between the two main areas of information theory on the one side and finite geometry on the other side. Bent vectorial functions are maximally nonlinear multi-output Boolean functions. They contribute to an optimal resistance to both linear and differential attacks of those symmetric… CONTINUE READING

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