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 Fpn defined by the form f(x)=uxpn121+xpn2 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 p7. 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) functionNess-Helleseth functionCCZ-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
Creative Commons Attribution
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}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.