Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Class of MSR Codes for Clustered Distributed Storage   Clustered distributed storage models real data centers where intra- and
cross-cluster repair bandwidths are different. In this paper, exact-repair
minimum-storage-regenerating (MSR) codes achieving capacity of clustered
distributed storage are designed. Focus is given on two cases: $\epsilon=0$ and
$\epsilon=1/(n-k)$, where $\epsilon$ is the ratio of the available cross- and
intra-cluster repair bandwidths, $n$ is the total number of distributed nodes
and $k$ is the number of contact nodes in data retrieval. The former represents
the scenario where cross-cluster communication is not allowed, while the latter
corresponds to the case of minimum cross-cluster bandwidth that is possible
under the minimum storage overhead constraint. For the $\epsilon=0$ case, two
types of locally repairable codes are proven to achieve the MSR point. As for
$\epsilon=1/(n-k)$, an explicit MSR coding scheme is suggested for the
two-cluster situation under the specific condition of $n = 2k$.

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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc