Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper bounds for energies of spherical codes of given cardinality and
  separation   We introduce a linear programming framework for obtaining upper bounds for
the potential energy of spherical codes of fixed cardinality and minimum
distance. Using Hermite interpolation we construct polynomials to derive
corresponding bounds. These bounds are universal in the sense that they are
valid for all absolutely monotone potential functions and the required
interpolation nodes do not depend on the potentials.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th