Paper 2019/316 Original: eprint.iacr.org/2019/316 ↗

Extended Affine and CCZ Equivalence up to Dimension 4

Marcus Brinkmann
Abstract

For all vectorial boolean functions up to dimension 4, we present canonical representatives for all extended affine (EA) and CCZ equivalence classes. We include the size of each class, as well as its algebraic degree and extended Walsh spectrum. We also answer the following questions: How large are these classes? Which of these classes contain bijective functions? And how are these classes grouped into CCZ equivalence classes?

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2019-03-29: last updated
2019-03-29: published
Short URL
https://ia.cr/2019/316
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/316,
      author = {Marcus Brinkmann},
      title = {Extended Affine and CCZ Equivalence up to Dimension 4},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/316},
      year = {2019},
      url = {https://eprint.iacr.org/2019/316}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.