(1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2

Yu Hai-Feng; Zhu  Shi-Xin; Zhang Xia

doi:10.3724/SP.J.1146.2013.01339

Volume 36 Issue 6

Jul. 2014

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Article Navigation > Journal of Electronics & Information Technology > 2014 > 36(6): 1419-1422

Yu Hai-Feng, Zhu Shi-Xin, Zhang Xia. (1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2[J]. Journal of Electronics & Information Technology, 2014, 36(6): 1419-1422. doi: 10.3724/SP.J.1146.2013.01339

Citation:

Yu Hai-Feng, Zhu Shi-Xin, Zhang Xia. (1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2[J]. Journal of Electronics & Information Technology, 2014, 36(6): 1419-1422. doi: 10.3724/SP.J.1146.2013.01339

Yu Hai-Feng, Zhu Shi-Xin, Zhang Xia. (1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2[J]. Journal of Electronics & Information Technology, 2014, 36(6): 1419-1422. doi: 10.3724/SP.J.1146.2013.01339

Citation:

Yu Hai-Feng, Zhu Shi-Xin, Zhang Xia. (1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2[J]. Journal of Electronics & Information Technology, 2014, 36(6): 1419-1422. doi: 10.3724/SP.J.1146.2013.01339

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(1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2

doi: 10.3724/SP.J.1146.2013.01339

Received Date: 2013-09-04
Rev Recd Date: 2013-11-08
Publish Date: 2014-06-19

Abstract

Abstract

(1+uv)-cyclic codes over F2+uF2+vF2+uvF2 is defined, and the relations between(1+uv)- cyclic codes and cyclic codes is discussed. It is proved that the binary image on isometric Gray maphomof a (1+uv)-cyclic code of length n over R is a linear quasi-cyclic code of index 4 and of length 8n. Furthermore, some optimal binary linear quasi-cyclic codes are obtained.
- Cyclic codes,
- (1+uv)-cyclic code,
- Gray map,
- Quasi-cyclic code