A note on verifying the APN property

Pascale Charpin; Gohar M.  Kyureghyan

Paper 2013/475

A note on verifying the APN property

Pascale Charpin and Gohar M. Kyureghyan

Abstract

We show that for an arbitrary mapping $F$ on $F_{2}^{n}$ to verify that it is APN, it is enough to consider the difference mappings of $F$ defined by elements from an hyperplane.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint.
Keywords: Boolean function APN functions hyperplane cryptographic criteria differential uniformity.
Contact author(s): pascale charpin @ inria fr
History: 2013-08-03: received
Short URL: https://ia.cr/2013/475
License: CC BY

BibTeX

@misc{cryptoeprint:2013/475,
      author = {Pascale Charpin and Gohar M.  Kyureghyan},
      title = {A note on verifying the {APN} property},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/475},
      year = {2013},
      url = {https://eprint.iacr.org/2013/475}
}