LINEAR CODES OVER Zps + uZps + vZps + uvZps
In the end of the paper Some Results on Linear Codes over the ring R = Z4 + uZ4 + vZ4 + uvZ4 written by Li Ping, Guo Xuemei, Zhu Shixin dan Kai Xiaoshan on 2017, tehy said that this result can be easily generalized for codes over the ring R = Zps + uZps + vZps + uvZps where p is an arbitrar...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/27277 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In the end of the paper Some Results on Linear Codes over the ring R = Z4 + uZ4 + vZ4 + uvZ4 written by Li Ping, Guo Xuemei, Zhu Shixin dan Kai Xiaoshan on 2017, tehy said that this result can be easily generalized for codes over the ring R = Zps + uZps + vZps + uvZps where p is an arbitrary prime number and s is an arbitrary natural number. <br />
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This Thesis study the linear codes over the ring R = Zps + uZps + vZps + uvZps which is the generalization of the ring R = Z4 + uZ4 + vZ4 + uvZ4. The structure of the ring R = Zps + uZps + vZps + uvZps is studied by using the direct sum decomposition of the ring R = Zps + uZps + vZps + uvZps . The aspects of the linear codes over the ring R = Zps + uZps + vZps + uvZps that studied here are the MDS codes over the ring R = Zps + uZps + vZps + uvZps , the self dual codes over the ring R = Zps + uZps + vZps + uvZps , the cyclic and m-tuple cyclic codes over the ring R = Zps + uZps + vZps + uvZps . <br />
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