Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subfield-Subcodes of Generalized Toric codes   We study subfield-subcodes of Generalized Toric (GT) codes over
$\mathbb{F}_{p^s}$. These are the multidimensional analogues of BCH codes,
which may be seen as subfield-subcodes of generalized Reed-Solomon codes. We
identify polynomial generators for subfield-subcodes of GT codes which allows
us to determine the dimensions and obtain bounds for the minimum distance. We
give several examples of binary and ternary subfield-subcodes of GT codes that
are the best known codes of a given dimension and length.

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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: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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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: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ