| CONSTRUCTIVE KISSING NUMBERS IN HIGH-DIMENSIONAL SPACES |
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| 引用本文： | Lanju XU. CONSTRUCTIVE KISSING NUMBERS IN HIGH-DIMENSIONAL SPACES[J]. 系统科学与复杂性, 2007, 20(1): 30-40. DOI: 10.1007/s11424-007-9002-9 |
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| 作者姓名： | Lanju XU |
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| 作者单位： | Number 81, P.O.Box 5102, Beijing 100094, China |
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| 摘 要： |
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| 关 键 词： | 高维空间 构造性切触数 Gilbert-Varshamov界 球面编码 |
| 收稿时间： | 2006-03-28 |
| 修稿时间： | 2006-04-28 |
Constructive Kissing Numbers in High-Dimensional Spaces |
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| Lanju Xu. Constructive Kissing Numbers in High-Dimensional Spaces[J]. Journal of Systems Science and Complexity, 2007, 20(1): 30-40. DOI: 10.1007/s11424-007-9002-9 |
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| Authors: | Lanju Xu |
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| Affiliation: | (1) Number 81, P.O.Box 5102, Beijing, 100094, China |
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| Abstract: | In the present paper, we focus on constructive spherical codes. By employing algebraic geometry codes, we give an explicit construction of spherical code sequences. By making use of the idea involved in the proof of the Gilbert-Varshamov bound in coding theory, we construct a spherical code sequence in exponential time which meets the best-known asymptotic bound by Shamsiev and Wyner. |
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| Keywords: | Gilbert-Varshamov bound spherical codes. |
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