# SKEW CYCLIC CODES OVER Fp + vFp

• Gao, Jian (School of Sciense, Shandong University of Technology)
• Accepted : 2012.10.10
• Published : 2013.05.30

#### Abstract

In this paper, we study a special class of linear codes, called skew cyclic codes, over the ring $R=F_p+vF_p$, where $p$ is a prime number and $v^2=v$. We investigate the structural properties of skew polynomial ring $R[x,{\theta}]$ and the set $R[x,{\theta}]/(x^n-1)$. Our results show that these codes are equivalent to either cyclic codes or quasi-cyclic codes. Based on this fact, we give the enumeration of distinct skew cyclic codes over R.

#### References

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#### Cited by

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4. On skew cyclic codes over a semi-local ring vol.07, pp.04, 2015, https://doi.org/10.1142/S1793830915500421
5. Construction of skew cyclic codes over $\mathbb F_q+v\mathbb F_q$ vol.8, pp.3, 2014, https://doi.org/10.3934/amc.2014.8.313
6. ΘS-cyclic codes overAk vol.1, pp.1, 2016, https://doi.org/10.1080/23799927.2016.1146800
7. Skew cyclic codes over Fq + uFq + vFq 2017, https://doi.org/10.1142/S1793557118500729
8. Skew cyclic and skew constacyclic codes over the ring 𝔽p + u1𝔽p + ⋯ + u2m𝔽p pp.1793-7183, 2018, https://doi.org/10.1142/S1793557119500839
9. Skew quasi cyclic codes over 𝔽q + v𝔽q pp.1793-6829, 2018, https://doi.org/10.1142/S0219498819500774