Free Planes in Lattice Sphere Packings
نویسنده
چکیده
We show that for every lattice packing of n-dimensional spheres there exists an (n/ log2(n))-dimensional affine plane which does not meet any of the spheres in their interior, provided n is large enough. Such an affine plane is called a free plane and our result improves on former bounds.
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تاریخ انتشار 2008