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Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds

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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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Authors and Affiliations

  1. Department of Mathematics, Anqing Teachers College, Anqing, 246011, China

    Hu Wanbao

  2. National Mobile communications Research, Southest University, Nanjing, 210096, China

    Hu Wanbao

Authors
  1. Hu Wanbao
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Hu, W. Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds. SCI CHINA SER A 49, 852–864 (2006). https://doi.org/10.1007/s11425-006-0852-8

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  • DOI: https://doi.org/10.1007/s11425-006-0852-8

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