Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Several classes of cyclic codes with either optimal three weights or a
  few weights   Cyclic codes with a few weights are very useful in the design of frequency
hopping sequences and the development of secret sharing schemes. In this paper,
we mainly use Gauss sums to represent the Hamming weights of a general
construction of cyclic codes. As applications, we obtain a class of optimal
three-weight codes achieving the Griesmer bound, which generalizes a Vega's
result in \cite{V1}, and several classes of cyclic codes with only a few
weights, which solve the open problem in \cite{V1}.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat