Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal nontrivial solutions of the isometry equation   In the paper there are described minimal nontrivial solutions of the isometry
equation. This equation naturally appears in the coding theory in the study of
additive code isometries. The minimal nontrivial solutions correspond to the
case of unextendible additive isometries of the shortest code length. Based on
this full description, several useful properties of minimal nontrivial
solutions were observed.

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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin