Abstract
Two classes of skew cyclic codes over rings are studied in this paper. According to their features, we present proper automorphisms. Combining with the given automorphisms, we construct skew cyclic codes and discuss the properties of the codes.
Research supported by reward fund for outstanding young and middle-aged scientists of ShanDong(BS2011DX011).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Li J, Zhu S (2011) Skew cyclic codes over \(Z_{2}+\mu Z_{2}+\mu ^{2}Z_{2}\). J Hefei Univ Technol (Natural Science) 34:1745–1748
Lin J (2014) Skew cyclic codes over rings \(F_{p}+\nu F_{p}(\nu ^{2}=1)\). J Electron 31:227–231
Xu X, Zhu S (2011) Skew cyclic codes over \(F_{4}+\nu F_{4}\). J Hefei Univ Technol (Natural Science) 34:1429–1432
Gao J (2013) Skew cyclic codes over \(F_{p}+\nu F_{p}\). Appl Math Inf 31:337–342
Pless V, Sole P, Qian Z (1997) Cyclic self-dual \(Z_{4}-\) codes. Finite Fields Appl 3:334–352
Wolfmann J (1999) Negacyclic and cyclic codes over \(Z_{4}\) codes. IEEE Trans Inf Theory 45:2527–2532
Boucher D, Geiselmann W, Ulmer F (2007) Skew cyclic codes. Appl Algebr Eng Commun Comput 18(4):379–389
Boucher D, Ulmer F (2009) Coding with skew polynomial rings. J Symbol Comput 44:1644–1656
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this paper
Cite this paper
Li, Y., Li, X. (2017). Studies on Two Classes of Skew Cyclic Codes Over Rings. In: Balas, V., Jain, L., Zhao, X. (eds) Information Technology and Intelligent Transportation Systems. Advances in Intelligent Systems and Computing, vol 454. Springer, Cham. https://doi.org/10.1007/978-3-319-38789-5_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-38789-5_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-38787-1
Online ISBN: 978-3-319-38789-5
eBook Packages: EngineeringEngineering (R0)