International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Wenfeng Jiang

Publications

Year
Venue
Title
2007
EPRINT
On The Inequivalence Of Ness-Helleseth APN Functions
In this paper, the Ness-Helleseth functions over $F_{p^n}$ defined by the form $f(x)=ux^{\frac{p^n-1}{2}-1}+x^{p^n-2}$ 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 $p\geq 7$. The original method of Ness and Helleseth showing the functions are APN for $p=3$ and odd $n\geq 3$ is also suitable for showing their APN property for any prime $p\geq 7$ with $p\equiv 3\,({\rm mod}\,4)$ and odd $n$.

Coauthors

Lei Hu (1)
Yang Yang (1)
Xiangyong Zeng (1)