Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A subspace code of size $333$ in the setting of a binary $q$-analog of
  the Fano plane   We show that there is a binary subspace code of constant dimension 3 in
ambient dimension 7, having minimum distance 4 and cardinality 333, i.e., $333
\le A_2(7,4;3)$, which improves the previous best known lower bound of 329.
Moreover, if a code with these parameters has at least 333 elements, its
automorphism group is in one of $31$ conjugacy classes. This is achieved by a
more general technique for an exhaustive search in a finite group that does not
depend on the enumeration of all subgroups.

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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th