Some Results on the Known Classes of Quadratic APN Functions

Lilya Budaghyan; Tor Helleseth; Nian Li; Bo Sun

Paper 2016/1183

Some Results on the Known Classes of Quadratic APN Functions

Lilya Budaghyan, Tor Helleseth, Nian Li, and Bo Sun

Abstract

In this paper, we determine the Walsh spectra of three classes of quadratic APN functions and we prove that the class of quadratic trinomial APN functions constructed by Gölo\u glu is affine equivalent to Gold functions.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint. MINOR revision.
Keywords: APN function Boolean function quadratic function Walsh spectrum
Contact author(s): nianli 2010 @ gmail com
History: 2016-12-30: received
Short URL: https://ia.cr/2016/1183
License: CC BY

BibTeX

@misc{cryptoeprint:2016/1183,
      author = {Lilya Budaghyan and Tor Helleseth and Nian Li and Bo Sun},
      title = {Some Results on the Known Classes of Quadratic {APN} Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/1183},
      year = {2016},
      url = {https://eprint.iacr.org/2016/1183}
}