| Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds |
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| 作者姓名： | HU Wanbao |
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| 作者单位： | HU Wanbao Department of Mathematics，Anqing Teachers College，Anqing 246011，China; National Mobile communications Research，Southest University，Nanjing 210096，China |
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| 摘 要： | In this paper, we show that the Gilbert-Varshamov and the Xing bounds can be improved significantly around two points where these two bounds intersect by nonlinear codes from algebraic curves over finite fields.
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| 收稿时间： | 6 October 2005 |
| 修稿时间： | 16 November 2005 |
Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds |
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| HU Wanbao.Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds[J].Science in China(Mathematics),2006,49(6):852-864. |
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| Authors: | HU Wanbao |
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| Institution: | National Mobile communications Research, Southest University, Nanjing 210096, China |
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| Abstract: | In this paper, we show that the Gilbert-Varshamov and the Xing bounds can be improved significantly around two points where these two bounds intersect by nonlinear codes from algebraic curves over finite fields. |
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| Keywords: | nonlinear code algebraic curve Gilbert-Varshamov bound Xing bound |
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