Generalized Isotopic Shift Construction for APN Functions

Lilya Budaghyan; Marco Calderini; Claude Carlet; Robert Coulter; Irene Villa

Paper 2020/295

Generalized Isotopic Shift Construction for APN Functions

Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert Coulter, and Irene Villa

Abstract

In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (2018), when the starting function is a Gold function. In particular, we derive a general construction of APN functions which covers several unclassified APN functions for $n=8$ and produces fifteen new APN functions for $n=9$.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: APN functions Isotopic shift Vectorial Boolean functions
Contact author(s): irene villa @ uib no
History: 2020-09-19: revised; 2020-03-09: received; See all versions
Short URL: https://ia.cr/2020/295
License: CC BY

BibTeX

@misc{cryptoeprint:2020/295,
      author = {Lilya Budaghyan and Marco Calderini and Claude Carlet and Robert Coulter and Irene Villa},
      title = {Generalized Isotopic Shift Construction for APN Functions},
      howpublished = {Cryptology ePrint Archive, Paper 2020/295},
      year = {2020},
      note = {\url{https://eprint.iacr.org/2020/295}},
      url = {https://eprint.iacr.org/2020/295}
}