On The Inequivalence Of Ness-Helleseth APN Functions

Xiangyong Zeng; Lei Hu; Yang Yang; Wenfeng Jiang

Paper 2007/379

On The Inequivalence Of Ness-Helleseth APN Functions

Xiangyong Zeng, Lei Hu, Yang Yang, and Wenfeng Jiang

Abstract

In this paper, the Ness-Helleseth functions over defined by the form are proven to be a new class of almost perfect nonlinear (APN) functions and they are CCZ-inequivalent with all other known APN functions when . The original method of Ness and Helleseth showing the functions are APN for and odd is also suitable for showing their APN property for any prime with and odd .

Note: This is a full version of the original one.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Published elsewhere. Almost perfect nonlinear (APN), differential uniformity, EA-equivalence, CCZ-equivalence
Keywords: Almost perfect nonlinear (APN) function Ness-Helleseth function CCZ-equivalence
Contact author(s): xzeng @ hubu edu cn
History: 2007-11-13: last of 2 revisions; 2007-09-27: received; See all versions
Short URL: https://ia.cr/2007/379
License: CC BY

BibTeX

@misc{cryptoeprint:2007/379,
      author = {Xiangyong Zeng and Lei Hu and Yang Yang and Wenfeng Jiang},
      title = {On The Inequivalence Of Ness-Helleseth {APN} Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/379},
      year = {2007},
      url = {https://eprint.iacr.org/2007/379}
}