Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completely regular codes in Johnson and Grassmann graphs with small
  covering radii   Let L be a Desarguesian 2-spread in the Grassmann graph $J_q(n,2)$. We prove
that the collection of the 4-subspaces, which do not contain subspaces from L
is a completely regular code in $J_q(n,4)$. Similarly, we construct a
completely regular code in the Johnson graph $J(n,6)$ from the Steiner
quadruple system of the extended Hamming code. We obtain several new completely
regular codes covering radius 1 in the Grassmann graph $J_2(6,3)$ using binary
linear programming.

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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat