Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Quasi-Cyclic Codes from Simplex Codes   As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many
good linear codes. But quasi-cyclic codes studied so far are mainly limited to
one generator (1-generator) QC codes. In this correspondence, 2-generator and
3-generator QC codes are studied, and many good, new QC codes are constructed
from simplex codes. Some new binary QC codes or related codes, that improve the
bounds on maximum minimum distance for binary linear codes are constructed.
They are 5-generator QC [93, 17, 34] and [254, 23, 102] codes, and related [96,
17, 36], [256, 23, 104] codes.

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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: stat