| Packing Superballs from Codes and Algebraic Curves |
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| 作者姓名： | Li LIU Chao Ping XING |
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| 作者单位： | [1]Department of Mathematics, Tongji University, Shanghai 200092, P. R. China [2]School of Sciences, Hefei University of Technology, Hefei 230009, P. R. China [3]Department of Mathematics, National University of Singapore, Singapore 117543, Republic of Singapore |
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| 基金项目： | This work of the second author was partially supported by National Scientific Research Project 973 of China 2004CB318000 |
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| 摘 要： | In the present paper, we make use of codes with good parameters and algebraic curves over finite fields with many rational points to construct dense packings of superballs. It turns out that our packing density is quite reasonable. In particular, we improve some values for the best-known lower bounds on packing density.
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| 关 键 词： | 包装 密度 代码 代数曲线 |
| 收稿时间： | 2006-11-03 |
| 修稿时间： | 2007-06-11 |
Packing superballs from codes and algebraic curves |
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| Li LIU Chao Ping XING.Packing Superballs from Codes and Algebraic Curves[J].Acta Mathematica Sinica,2008,24(1):1-6. |
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| Authors: | Li Liu Chao Ping Xing |
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| Institution: | (1) Department of Mathematics, Tongji University, Shanghai, 200092, P. R. China;(2) School of Sciences, Hefei University of Technology, Hefei, 230009, P. R. China;(3) Department of Mathematics, National University of Singapore, Singapore, 117543, Republic of Singapore |
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| Abstract: | In the present paper, we make use of codes with good parameters and algebraic curves over finite fields with many rational points to construct dense packings of superballs. It turns out that our packing density is quite reasonable. In particular, we improve some values for the best-known lower bounds on packing density. |
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| Keywords: | packing density algebraic curves codes |
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