Paper 2007/098

Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

Lilya Budaghyan and Claude Carlet

Abstract

A method for constructing differentially 4-uniform quadratic hexanomials has been recently introduced by J. Dillon. We give various generalizations of this method and we deduce the constructions of new infinite classes of almost perfect nonlinear quadratic trinomials and hexanomials from $\mathbb{F}_{2^{2m}}$ to $\mathbb{F}_{2^{2m}}$. We check for $m=3$ that some of these functions are CCZ-inequivalent to power functions.

Metadata
Available format(s)
PDF PS
Category
Secret-key cryptography
Publication info
Published elsewhere. Unknown where it was published
Keywords
Affine equivalenceAlmost bentAlmost perfect nonlinearCCZ-equivalenceDifferential uniformityNonlinearityS-boxVectorial Boolean function
Contact author(s)
lilya @ science unitn it
History
2007-03-22: received
Short URL
https://ia.cr/2007/098
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2007/098,
      author = {Lilya Budaghyan and Claude Carlet},
      title = {Classes of Quadratic APN Trinomials and Hexanomials and Related Structures},
      howpublished = {Cryptology ePrint Archive, Paper 2007/098},
      year = {2007},
      note = {\url{https://eprint.iacr.org/2007/098}},
      url = {https://eprint.iacr.org/2007/098}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.