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Paper: Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

Authors:
Lilya Budaghyan
Claude Carlet
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URL: http://eprint.iacr.org/2007/098
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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.
BibTeX
@misc{eprint-2007-13380,
  title={Classes of Quadratic APN Trinomials and Hexanomials and Related Structures},
  booktitle={IACR Eprint archive},
  keywords={secret-key cryptography / Affine equivalence, Almost bent, Almost perfect nonlinear, CCZ-equivalence, Differential uniformity, Nonlinearity, S-box, Vectorial Boolean function},
  url={http://eprint.iacr.org/2007/098},
  note={ lilya@science.unitn.it 13590 received 18 Mar 2007},
  author={Lilya Budaghyan and Claude Carlet},
  year=2007
}