Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of quaternary Hermitian LCD codes with Hermitian dual
  distance $1$   For $k \ge 2$ and a positive integer $d_0$, we show that if there exists no
quaternary Hermitian linear complementary dual $[n,k,d]$ code with $d \ge d_0$
and Hermitian dual distance greater than or equal to $2$, then there exists no
quaternary Hermitian linear complementary dual $[n,k,d]$ code with $d \ge d_0$
and Hermitian dual distance $1$. As a consequence, we generalize a result by
Araya, Harada and Saito on the nonexistence of some quaternary Hermitian linear
complementary dual codes.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol