Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Approach to the Main Problem of Subspace Coding   Subspace codes form the appropriate mathematical setting for investigating
the Koetter-Kschischang model of fault-tolerant network coding. The Main
Problem of Subspace Coding asks for the determination of a subspace code of
maximum size (proportional to the transmission rate) if the remaining
parameters are kept fixed. We describe a new approach to finding good subspace
codes, which surpasses the known size limit of lifted MRD codes and is capable
of yielding an alternative construction of the currently best known binary
subspace code of packet length 7, constant dimension 3 and minimum subspace
distance 4.

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The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs