A New Family of Perfect Nonlinear Binomials

Zhengbang Zha; Gohar M.  Kyureghyan; Xueli Wang

Paper 2008/196

A New Family of Perfect Nonlinear Binomials

Zhengbang Zha, Gohar M. Kyureghyan, and Xueli Wang

Abstract

We prove that the binomials define perfect nonlinear mappings in for an appropriate choice of the integer and . We show that these binomials are inequivalent to known perfect nonlinear monomials. As a consequence we obtain new commutative semifields for and odd .

Metadata

Available format(s): PDF PS
Category: Foundations
Publication info: Published elsewhere. Unknown where it was published
Keywords: perfect nonlinear functions almost perfect nonlinear functions
Contact author(s): gohar kyureghyan @ ovgu de
History: 2008-05-12: received
Short URL: https://ia.cr/2008/196
License: CC BY

BibTeX

@misc{cryptoeprint:2008/196,
      author = {Zhengbang Zha and Gohar M.  Kyureghyan and Xueli Wang},
      title = {A New Family of Perfect Nonlinear Binomials},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/196},
      year = {2008},
      url = {https://eprint.iacr.org/2008/196}
}