Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Construction of Maximally Recoverable Codes with Order-Optimal Field
  Size   We construct maximally recoverable codes (corresponding to partial MDS codes)
which are based on linearized Reed-Solomon codes. The new codes have a smaller
field size requirement compared with known constructions. For certain
asymptotic regimes, the constructed codes have order-optimal alphabet size,
asymptotically matching the known lower bound.

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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci