Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The symbol-pair distance distribution of repeated-root cyclic codes over
  $\mathbb{F}_{p^m}$   Symbol-pair codes are proposed to protect against pair errors in symbol-pair
read channels. One of the most important task in symbol-pair coding theory is
to determine the minimum pair-distance of symbol-pair codes. In this paper, we
investigate the symbol-pair distances of cyclic codes of length $p^e$ over
$\mathbb{F}_{p^m}$. The exact symbol-pair distances of all cyclic codes of such
length are determined.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas