Paper 2020/295 Original: eprint.iacr.org/2020/295 ↗

Generalized Isotopic Shift Construction for APN Functions

Lilya Budaghyan
Marco Calderini
Claude Carlet
Robert Coulter
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.
History
2020-09-19: last updated
2020-03-09: published
Short URL
https://ia.cr/2020/295
License
https://creativecommons.org/licenses/by/4.0/

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},
      url = {https://eprint.iacr.org/2020/295}
}
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