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| A Method for Constructing Self-orthogonal Codes Over Finite Fields |
| Zhang Fu-li① Kai Xiao-shan① Zhu Shi-xin① Chen An-shun② |
①(School of Mathematics, Hefei University of Technology, Hefei 230009, China)
②(School of Mathematical Sciences, Chuzhou University, Chuzhou 239000, China) |
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Abstract A method is proposed to construct self-orthogonal codes over the finite field by Fq using cyclic self- orthogonal codes over the finite ring Fq+uFq. A Gray map from Fq+uFq to Fpq is introduced, and a sufficient and necessary condition for the existence of cyclic self-orthogonal codes over is given. It is proved that the Gray image of a cyclic self-orthogonal code with length n over Fq+uFq is a self-orthogonal code with length pn over Fq. Further, some self-orthogonal codes over Fq with good parameters are constructed.
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Received: 08 November 2013
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Corresponding Authors:
Kai Xiao-shan
E-mail: kxs6@sina.com
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2014, Vol. 36 
