Journal article
Constructing new APN functions from known ones
In
Finite Fields and Their Applications
—
2009, Volume 15, Issue 2, pp. 150-159
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 x(3) + tr(x(9)) over F2(n). 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).
| Language: | English |
|---|---|
| Year: | 2009 |
| Pages: | 150-159 |
| ISSN: | 10715797 and 10902465 |
| Types: | Journal article |
| DOI: | 10.1016/j.ffa.2008.10.001 |
