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Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps... We compute new upper bounds for the one-sided kissing number in several dimensions where we in particular get a new tight bound in dimension 8....
général - core.ac.uk - PDF: www.loc.gov
On kissing numbers in dimensions 32 to 128An elementary construction using binary codes gives new record kissing numbers in dimensions from 32 to 128....
High accuracy semidefinite programming bounds for kissing numbers... The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere....
On integral lattices having an odd minimum... We study the kissing number of integral lattices of odd minimum, with special emphasis on the case of minimum 3....
The kissing number in four dimensionsThe kissing number problem asks for the maximal number k(n) of equal sizenonoverlapping spheres in n-dimensional space that can touch another sphere ofthe same size....
 PDF: arxiv.org


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