Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binary LCD Codes and Self-orthogonal Codes via Simplicial Complexes   Due to some practical applications, linear complementary dual (LCD) codes and
self-orthogonal codes have attracted wide attention in recent years. In this
paper, we use simplicial complexes for construction of an infinite family of
binary LCD codes and two infinite families of binary self-orthogonal codes.
Moreover, we explicitly determine the weight distributions of these codes. We
obtain binary LCD codes which have minimum weights two or three, and we also
find some self-orthogonal codes meeting the Griesmer bound. As examples, we
also present some (almost) {\it optimal} binary self-orthogonal codes and LCD
{\it distance optimal} codes.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an