Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: List Decoding of Lifted Gabidulin Codes via the Pl\"ucker Embedding   Codes in the Grassmannian have recently found an application in random
network coding. All the codewords in such codes are subspaces of $\F_q^n$ with
a given dimension.
  In this paper, we consider the problem of list decoding of a certain family
of codes in the Grassmannian, called lifted Gabidulin codes.
  For this purpose we use the Pl\"ucker embedding of the Grassmannian. We
describe a way of representing a subset of the Pl\"ucker coordinates of lifted
Gabidulin codes as linear block codes. The union of the parity-check equations
of these block codes and the equations which arise from the description of a
ball around a subspace in the Pl\"ucker coordinates describe the list of
codewords with distance less than a given parameter from the received word.

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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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: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga