Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583462 | Finite Fields and Their Applications | 2009 | 10 Pages |
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).
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory