LINEAR CODES OVER Zps + uZps + vZps + uvZps

• Main Author: ARIELLA MUSTIKA (NIM: 20117008), FELITA
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/27277
• Institution: Institut Teknologi Bandung

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 /> <br /> <br /> 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 />