Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new class of MDS symbol-pair codes   The symbol-pair code is a new coding framework proposed to guard against
pair-errors in symbol-pair read channels. Especially, a symbol-pair code with
the parameters achieving the Singleton-type bound is called an MDS symbol-pair
code. In this paper, inspiring by the classical construction for Reed-Solomon
codes, for any $3\le k<m\le q-2$ and
$m_1=\Big\lfloor{\tiny\frac{m}{\lfloor\frac{k-1}{2}\rfloor}}\Big\rfloor$, we
construct a class of $q$-ary MDS symbol-pair codes with dimension $k$ and
length $n$ $(n=m+m_1, m+m_1-1)$, where $q$ is a prime power. Furthermore, for
$k\in\{3,4\}$, the symbol-pair weight distributions for these codes are
determined by enumerating the number of polynomials with given roots.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph