Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds 被引量：1

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

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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. 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.

作者 HU Wanbao Department of Mathematics, Anqing Teachers College, Anqing 246011, China National Mobile communications Research, Southest University, Nanjing 210096, China

出处《Science China Mathematics》 SCIE 2006年第6期852-864,共13页 中国科学：数学（英文版）

关键词 nonlinear code ALGEBRAIC curve Gilbert-Varshamov bound Xing bound. nonlinear code, algebraic curve, Gilbert-Varshamov bound, Xing bound.

分类号 O157.4 [理学—基础数学]

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参考文献6

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Science China Mathematics

2006年第6期

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Nonlinear codes with asymptotic parameters better than the Gilbert-Varshamov and the Xing Bounds 被引量：1

参考文献6

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