Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

Lilya Budaghyan; Claude Carlet

Paper 2007/098 Original: eprint.iacr.org/2007/098 ↗

Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

Lilya Budaghyan

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
Category: Secret-key cryptography
Publication info: Preprint.
History: 2007-03-22: last updated; 2007-03-22: published
Short URL: https://ia.cr/2007/098
License: https://creativecommons.org/licenses/by/4.0/

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},
      url = {https://eprint.iacr.org/2007/098}
}