Title :
New families of almost perfect nonlinear power mappings
Author :
Helleseth, Tor ; Rong, Chunming ; Sandberg, Daniel
Author_Institution :
Dept. of Inf., Bergen Univ., Norway
fDate :
3/1/1999 12:00:00 AM
Abstract :
A power mapping f(x)=xd over GF(pn) is said to be differentially k-uniform if k is the maximum number of solutions x∈GF(pn) of f(x+a)-f(x)=b where a, b∈GF(pn ) and a≠0. A 2-uniform mapping is called almost perfect nonlinear (APN). We construct several new infinite families of nonbinary APN power mappings
Keywords :
Galois fields; cryptography; 2-uniform mapping; Galois fields; almost perfect nonlinear power mappings; cryptography; differentially k-uniform mapping; infinite families; maximum solutions; nonbinary APN power mappings; Cryptography; Equations; Informatics; Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
