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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 functionsIsotopic shiftVectorial 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
Creative Commons Attribution
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}
}
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