| 环Z_2+uZ_2+u~2Z_2(u~3=1)上的2-D斜循环码 |
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| 引用本文： | 环Z+uZ+uZu=上的-D斜循环码. 环Z_2+uZ_2+u~2Z_2(u~3=1)上的2-D斜循环码[J]. 山东科学, 2017, 30(6): 119-123. DOI: 10.3976/j.issn.1002-4026.2017.06.020 |
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| 作者姓名： | 环Z+uZ+uZu=上的-D斜循环码 |
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| 作者单位： | 青岛科技大学数理学院，山东 青岛 266061 |
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| 基金项目： | 山东省中青年科学家奖励基金（BS2011DX011）；山东省科技厅联合专项（ZR2013AL011） |
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| 摘 要： | 本文研究了环Z_2+uZ_2+u~2Z_2上的2-D斜循环码,对二元斜多项式的性质和因式分解进行了讨论。同时研究了线性码是2-D斜循环码的充要条件、2-D斜循环码的性质及其构造方法 。
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| 关 键 词： | 斜多项式 2-D斜循环码 斜循环码 |
| 收稿时间： | 2017-01-09 |
2-Dskew cyclic codes over the ringZ2+uZ2+u2Z2u3=1 |
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| ZHAO Rui-rui,LI Xiu-li. 2-Dskew cyclic codes over the ringZ2+uZ2+u2Z2u3=1[J]. Shandong Science, 2017, 30(6): 119-123. DOI: 10.3976/j.issn.1002-4026.2017.06.020 |
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| Authors: | ZHAO Rui-rui LI Xiu-li |
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| Affiliation: | School of Mathematics and Physics, Qingdao University of Science and Technology,Qingdao 266061,China |
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| Abstract: | In this paper, the 2-D skew cyclic codes over the ring Z2+uZ2+u2Z2 was studied. The properties and factorizations of bivariate skew polynomial were also discussed. Then the necessary and sufficient condition for linear code to be 2-D skew cyclic code were given. Finally,the properties and the structure of 2-D skew cyclic code were researched. |
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| Keywords: | skew cyclic codes 2-Dskew cyclic codes skew polynomial |
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