Article ID Journal Published Year Pages File Type
4583462 Finite Fields and Their Applications 2009 10 Pages PDF
Abstract

We present a method for constructing new quadratic APN functions from known ones. Applying this method to the Gold power functions we construct an APN function x3+tr(x9) over Fn2. It is proven that for n⩾7 this function is CCZ-inequivalent to the Gold functions, and in the case n=7 it is CCZ-inequivalent to any power mapping (and, therefore, to any APN function belonging to one of the families of APN functions known so far).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory