English

New Perfect Nonlinear Functions over Finite Fields

Information Theory 2019-05-06 v2 math.IT

Abstract

In this paper we present a new class of perfect nonlinear %Dembowski-Ostrom polynomials over Fp2k\mathbb{F}_{p^{2k}} for any odd prime pp. In addition, we show that the new perfect nonlinear functions are CCZ-inequivalent to all the previously known perfect nonlinear functions in general.

Cite

@article{arxiv.1812.03594,
  title  = {New Perfect Nonlinear Functions over Finite Fields},
  author = {Jinquan Luo and Junru Ma and Min Tu},
  journal= {arXiv preprint arXiv:1812.03594},
  year   = {2019}
}

Comments

This result is not new. It has been found by other researchers many years ago

R2 v1 2026-06-23T06:36:59.067Z