MDR codes and self-dual codes on Cartesian product codes
A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2, , C scodes overZ r1 × Z r2 × × Zrs were studi...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2010-01-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/74648842/ |
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| _version_ | 1841537690145652736 |
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| author | LIU Xiu-sheng |
| author_facet | LIU Xiu-sheng |
| author_sort | LIU Xiu-sheng |
| collection | DOAJ |
| description | A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2, , C scodes overZ r1 × Z r2 × × Zrs were studied. Furthermore, it can include that Cartesian product code of MDS codes is MDR code, and so do the self -dual. |
| format | Article |
| id | doaj-art-b4887406b0054a0ab8afd8141a77fdb4 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2010-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-b4887406b0054a0ab8afd8141a77fdb42025-01-14T08:26:21ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2010-01-013112312574648842MDR codes and self-dual codes on Cartesian product codesLIU Xiu-shengA Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2, , C scodes overZ r1 × Z r2 × × Zrs were studied. Furthermore, it can include that Cartesian product code of MDS codes is MDR code, and so do the self -dual.http://www.joconline.com.cn/zh/article/74648842/rankCartesian productmaximum distance with respect to rank codesthe Chinese remainder theorem |
| spellingShingle | LIU Xiu-sheng MDR codes and self-dual codes on Cartesian product codes Tongxin xuebao rank Cartesian product maximum distance with respect to rank codes the Chinese remainder theorem |
| title | MDR codes and self-dual codes on Cartesian product codes |
| title_full | MDR codes and self-dual codes on Cartesian product codes |
| title_fullStr | MDR codes and self-dual codes on Cartesian product codes |
| title_full_unstemmed | MDR codes and self-dual codes on Cartesian product codes |
| title_short | MDR codes and self-dual codes on Cartesian product codes |
| title_sort | mdr codes and self dual codes on cartesian product codes |
| topic | rank Cartesian product maximum distance with respect to rank codes the Chinese remainder theorem |
| url | http://www.joconline.com.cn/zh/article/74648842/ |
| work_keys_str_mv | AT liuxiusheng mdrcodesandselfdualcodesoncartesianproductcodes |