Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multicast Networks Solvable over Every Finite Field   In this work, it is revealed that an acyclic multicast network that is scalar
linearly solvable over Galois Field of two elements, GF(2), is solvable over
all higher finite fields. An algorithm which, given a GF(2) solution for an
acyclic multicast network, computes the solution over any arbitrary finite
field is presented. The concept of multicast matroid is introduced in this
paper. Gammoids and their base-orderability along with the regularity of a
binary multicast matroid are used to prove the results.

26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin