Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction for both self-dual codes and LCD codes   From a given $[n, k]$ code $C$, we give a method for constructing many $[n,
k]$ codes $C'$ such that the hull dimensions of $C$ and $C'$ are identical.
This method can be applied to constructions of both self-dual codes and linear
complementary dual codes (LCD codes for short). Using the method, we construct
661 new inequivalent extremal doubly even $[56, 28, 12]$ codes. Furthermore,
constructing LCD codes by the method, we improve some of the previously known
lower bounds on the largest minimum weights of binary LCD codes of length
$n=26,28 \le n \le 40$.

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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg