Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclic Codes from Dickson Polynomials   Due to their efficient encoding and decoding algorithms cyclic codes, a
subclass of linear codes, have applications in consumer electronics, data
storage systems, and communication systems. In this paper, Dickson polynomials
of the first and second kind over finite fields are employed to construct a
number of classes of cyclic codes. Lower bounds on the minimum weight of some
classes of the cyclic codes are developed. The minimum weights of some other
classes of the codes constructed in this paper are determined. The dimensions
of the codes obtained in this paper are flexible. Most of the codes presented
in this paper are optimal or almost optimal in the sense that they meet some
bound on linear codes. Over ninety cyclic codes of this paper should be used to
update the current database of tables of best linear codes known. Among them
sixty are optimal in the sense that they meet some bound on linear codes and
the rest are cyclic codes having the same parameters as the best linear code in
the current database maintained at http://www.codetables.de/.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom