Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Z2Z4[\xi]-Skew Cyclic Codes   Z2Z4-additive codes have been defined as a subgroup of Z2^{r} x Z4^{s} in [5]
where Z2, Z4 are the rings of integers modulo 2 and 4 respectively and r and s
positive integers. In this study, we define a new family of codes over the set
Z2^{r}[\bar{\xi}] x Z4^{s}[\xi] where \xi is the root of a monic basic
primitive polynomial in Z4[x]. We give the standard form of the generator and
parity-check matrices of codes over Z2^{r}[\bar{\xi}] x Z4^{s}[\xi] and also we
introduce skew cyclic codes and their spanning sets over this set.

14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph