Title :
Almost Perfect Nonlinear Power Functions in Odd Characteristic
Author :
Zha, Zhengbang ; Wang, Xueli
Author_Institution :
Dept. of Math. Sci., Luoyang Normal Univ., Luoyang, China
fDate :
7/1/2011 12:00:00 AM
Abstract :
In this paper, two new families of functions in odd characteristic are constructed, and they are proved to be almost perfect nonlinear (APN) functions. Some of the “open cases” which were introduced by Helleseth are answered by these new APN functions.
Keywords :
nonlinear functions; APN functions; almost perfect nonlinear power functions; odd characteristic; Complexity theory; Cryptography; Indexes; Information security; Laboratories; Polynomials; Almost perfect nonlinear function; characteristic; differential uniform mapping; perfect nonlinear function; quadratic character;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2145130
