Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Repairing Generalized Reed-Muller Codes   In distributed storage systems, both the repair bandwidth and locality are
important repair cost metrics to evaluate the performance of a storage code.
Recently, Guruswami and Wooters proposed an optimal linear repair scheme based
on Reed-Solomon codes for a single failure, improved the bandwidth of the
classical repair scheme. In this paper, we consider the repair bandwidth of
Generalized Reed-Muller (GRM) codes, which have good locality property. We
generalize Guruswami and Wooters' repairing scheme to GRM codes for single
failure, which has nontrivial bandwidth closing to the lower bound when the
subfield is small. We further extend the repair scheme for multiple failures in
distributed and centralized repair models, and compute the expectation of
bandwidth by considering different erasure-patterns.

30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org