Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries in Linear Programming for Information Inequalities   We study the properties of secret sharing schemes, where a random secret
value is transformed into shares distributed among several participants in such
a way that only the qualified groups of participants can recover the secret
value. We improve the lower bounds on the sizes of shares for several specific
problems of secret sharing. To this end, we use the method of non-Shannon-type
information inequalities going back to Z. Zhang and R.W. Yeung. We employ and
extend the linear programming technique that allows to apply new information
inequalities indirectly, without even writing them down explicitly. To reduce
the complexity of the problems of linear programming involved in the bounds we
extensively use symmetry considerations.

8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys