English

Polynomial functions of degree 20 which are APN infinitely often

Information Theory 2013-01-28 v2 Cryptography and Security math.IT

Abstract

We give all the polynomials functions of degree 20 which are APN over an infinity of field extensions and show they are all CCZ-equivalent to the function x5x^5, which is a new step in proving the conjecture of Aubry, McGuire and Rodier.

Keywords

Cite

@article{arxiv.1212.4638,
  title  = {Polynomial functions of degree 20 which are APN infinitely often},
  author = {Florian Caullery},
  journal= {arXiv preprint arXiv:1212.4638},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1101.6033 by other authors