Improvement on parameters of Goppa geometry codes from maximal curves using the Vla/spl breve/dut-Xing method

Lanju Xu

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Improvement on parameters of Goppa geometry codes from maximal curves using the Vla/spl breve/dut-Xing method

机译：使用Vla / spl breve / dut-Xing方法从最大曲线改进Goppa几何代码的参数

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摘要

In the present correspondence, an idea of Xing and Chen is used to improve the parameters of Goppa geometry codes from maximal curves. It is shown that we can improve the parameters of Goppa geometry codes almost up to the genus of a maximal curve.

机译：在当前的对应关系中，Xing和Chen的想法被用来从最大曲线改进Goppa几何代码的参数。结果表明，我们几乎可以改善Goppa几何代码的参数，直到最大曲线的属。

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来源
《IEEE Transactions on Information Theory》 |2005年第6期|p.2207-2210|共4页
作者
Lanju Xu;
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原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
Goppa codes; geometric codes; group codes; polynomials; rational functions; Goppa geometry code; Vladut-Xing method; class group; maximal curve; parameter improvement; Bounds; Goppa geometry codes; class group; divisors; maximal curves;

机译：Goppa代码;几何代码;组代码;多项式;有理函数;Goppa几何代码;Vladut-Xing方法;类组;最大曲线;参数改进;边界;Goppa几何代码;类组;除数;最大曲线;

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1. Transitive and self-dual codes attaining the Tsfasman-Vla/spl breve/dut$80-Zink bound [J] . Stichtenoth H. IEEE Transactions on Information Theory . 2006,第5期

机译：达到Tsfasman-Vla / spl breve / dut $ 80-Zink界限的传递和自对码
2. Improvements on Parameters of Algebraic-Geometry Codes From Hermitian Curves [J] . Yang S. IEEE Transactions on Information Theory . 2009,第1期

机译：Hermitian曲线对代数几何码参数的改进
3. Construction of Improved Geometric Goppa Codes from Klein Curves and Klein-like Curves [J] . Mahadev S. Kolluru, G. L. Feng, T. R. N. Rao Applicable algebra in engineering, communication and computing . 2000,第6期

机译：从Klein曲线和类Klein曲线构造改进的几何Goppa码
4. AG Goppa Codes from Maximal Curves over determined Finite Fields of characteristic 2 [C] . Robert J. McEliece, M. C. Rodriguez-Palanquex . 2006

机译：确定的特征2的有限域上的最大曲线的AG Goppa码
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8. Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion. Stability Condition of 'Maximally-Decoupled' Collective Submanifold [R] . Sakata, F., Marumori, T., Hashimoto, Y., 1983

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Improvement on parameters of Goppa geometry codes from maximal curves using the Vla/spl breve/dut-Xing method

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