Some results on linear codes over the ring $$\mathbb {Z}_4+u\mathbb {Z}_4+v\mathbb {Z}_4+uv\mathbb {Z}_4$$ Z 4 + u Z 4 + v Z 4 + u v Z 4

Author:

Li Ping,Guo Xuemei,Zhu Shixin,Kai Xiaoshan

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Research Fund for the Doctoral Program of Hefei University of Technology

Natural Science Foundation of Anhui Province (CN)

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. Abualrub, T.: Reversible quaternary cyclic codes[C]//Proceedings of the 9th WSEAS International Conference on Applied Mathematics. Istanbul, pp. 441-446 (2006)

2. Bandi, R.K., Bhaintwal, M.: Codes over $$\mathbb{Z}_4+v\mathbb{Z} _4$$ Z 4 + v Z 4 [C]//International Conference on Advances in Computing, Communications and Informatics (2014)

3. Blackford, T.: Negacyclic codes over $$\mathbb{Z}_{4}$$ Z 4 of even length. IEEE Trans. Inf. Theory 49(6), 1417–1424 (2003)

4. Database of $${\mathbb{Z}} _4$$ Z 4 codes[online], http://www.asamov.com/Z4Codes/CODES/ShowCodesTablePage.aspx . Accessed May 26 2015

5. Dinh, H.Q., Lopez-Permouth, S.R.: Cyclic and negacyclic codes over finite chain rings. IEEE Trans. Inf. Theory 50(8), 1728–1744 (2004)

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