| 面向三维信号的非线性分组码 |
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| 引用本文： | 董学东,李志敏,潘桔,王丹,祝杰.面向三维信号的非线性分组码[J].辽宁师范大学学报(自然科学版),2005,28(3):257-261. |
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| 作者姓名： | 董学东 李志敏 潘桔 王丹 祝杰 |
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| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029;辽宁师范大学,数学学院,辽宁,大连,116029;辽宁师范大学,数学学院,辽宁,大连,116029;辽宁师范大学,数学学院,辽宁,大连,116029;辽宁师范大学,数学学院,辽宁,大连,116029 |
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| 基金项目： | 国家自然科学基金资助项目（10171042） |
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| 摘 要： | 设Z^3（-2的平方根）]是代数数域Q（^3（-2的平方根））的代数整数环，把商环Z^3（-2的平方根）]／（p^n）的乘法单位群分解为群的直积，由此获得三维信号空间并可用来构造分组码，这些码能够改正某些错误。
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| 关 键 词： | 代数整数环 乘法单位群 三维信号空间 分组码 |
| 收稿时间： | 04 3 2005 12:00AM |
Nonlinear Block Codes for Three Dimensional Signals |
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| DONG Xue-dong,LI Zhi-min,PAN Ju,WABG Dan,ZHU Jie.Nonlinear Block Codes for Three Dimensional Signals[J].Journal of Liaoning Normal University(Natural Science Edition),2005,28(3):257-261. |
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| Authors: | DONG Xue-dong LI Zhi-min PAN Ju WABG Dan ZHU Jie |
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| Abstract: | In this paper, we factor one subgroup of the multiplicative group of units in the quotient ring (Z/(p~n)) as direct product of cyclic groups, where Z is the algebraic integer ring of the algebraic number field Q(3-2) and p is a given odd prime number. These multiplicative groups can be used to obtain three dimensional signal spaces and to construct block codes for coding three dimensional signals which are able to correct some error patterns. |
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| Keywords: | Algebraic integer ring multiplicative group of units three dimensional signal block code |
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