Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

Lilya Budaghyan; Claude Carlet

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 equivalence Almost bent Almost perfect nonlinear CCZ-equivalence Differential uniformity Nonlinearity S-box Vectorial Boolean function
Contact author(s): lilya @ science unitn it
History: 2007-03-22: received
Short URL: https://ia.cr/2007/098
License: 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},
      url = {https://eprint.iacr.org/2007/098}
}