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| (1+uv)-Cyclic Codes Over F2+uF2+vF2+uvF2 |
| Yu Hai-feng① Zhu Shi-xin② Zhang Xia① |
①(Department of Mathematics and Physics, Hefei University, Hefei 230601, China)
②(School of Mathematics, Hefei University of Technology, Hefei 230009, China) |
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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 map Φhom of 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.
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Received: 04 September 2013
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Corresponding Authors:
Yu Hai-feng
E-mail: yuhfslx@hfuu.edu.cn
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2014, Vol. 36 
