Nonexistence Results on Generalized Bent Functions

@inproceedings{Leung2018NonexistenceRO,
  title={Nonexistence Results on Generalized Bent Functions},
  author={Ka Hin Leung and Bernhard Schmidt},
  year={2018}
}
Let p be an odd prime, let a be a positive integer, let m be an odd positive integer, and suppose that a generalized bent function from Z2pa to Z2pa exists. We show that this implies m 6= 1, p ≤ 22m + 2m + 1, and ordp(2) ≤ 2m−1. We obtain further necessary conditions and prove that p = 7 if m = 3 and p ∈ {7, 23, 31, 73, 89} ∗Research is supported by grant R… CONTINUE READING