Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes The paper is registered to the ORCID of Olav Geil. For more details please visit Ryutaroh Matsumoto: http://orcid.org/0000-0002-5085-8879 or Diego Ruano: http://orcid.rg/0000-0001-7304-0087

Geil O.; Martin S.; Matsumoto R.; Ruano D.; Luo Y.

首页> 外文期刊>Information Theory, IEEE Transactions on >Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes The paper is registered to the ORCID of Olav Geil. For more details please visit Ryutaroh Matsumoto: http://orcid.org/0000-0002-5085-8879 or Diego Ruano: http://orcid.rg/0000-0001-7304-0087

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Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes The paper is registered to the ORCID of Olav Geil. For more details please visit Ryutaroh Matsumoto: http://orcid.org/0000-0002-5085-8879 or Diego Ruano: http://orcid.rg/0000-0001-7304-0087

机译：一点代数几何代码的相对广义汉明权重本文已注册到Olav Geil的ORCID。有关更多详细信息，请访问Ryutaroh Matsumoto：http://orcid.org/0000-0002-5085-8879或Diego Ruano：http：//orcid.rg/0000-0001-7304-0087

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Security of linear ramp secret sharing schemes can be characterized by the relative generalized Hamming weights of the involved codes. In this paper, we elaborate on the implication of these parameters and devise a method to estimate their value for general one-point algebraic geometric codes. As it is demonstrated, for Hermitian codes, our bound is often tight. Furthermore, for these codes, the relative generalized Hamming weights are often much larger than the corresponding generalized Hamming weights.

机译：线性斜坡秘密共享方案的安全性可以通过所涉及代码的相对广义汉明权重来表征。在本文中，我们详细阐述了这些参数的含义，并设计了一种方法来估计它们对一般单点代数几何代码的价值。如图所示，对于厄米密码，我们的界限通常很严格。此外，对于这些代码，相对广义汉明权重通常比相应的广义汉明权重大。

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来源
《Information Theory, IEEE Transactions on》 |2014年第10期|5938-5949|共12页
作者
Geil O.; Martin S.; Matsumoto R.; Ruano D.; Luo Y.;
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作者单位

Department of Mathematical Sciences, Aalborg University, Aalborg, Denmark;

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正文语种 eng
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关键词
Cryptography; Electronic mail; Hamming weight; Linear codes; Materials; Random variables; Vectors; Feng-Rao bound; Hermitian code; Linear code; one-point algebraic geometric code; relative dimension/length profile; relative generalized Hamming weight; secret sharing; wiretap channel of type II;

机译：密码学;电子邮件;汉明重量;线性代码;材料;随机变量;向量;凤饶厄米密码线性代码;一点代数几何代码;相对尺寸/长度轮廓;相对广义汉明权重;秘密分享;II型窃听通道;

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外文文献

1. Relative generalized Hamming weights of one-point algebraic geometric codes [C] . Geil O., Martin S., Matsumoto R., IEEE Information Theory Workshop . 2014

机译：一点代数几何码的相对广义汉明权重
2. Relative generalized Hamming weights of one-point algebraic geometric codes [O] . Olav Geil, Stefano Martin, Ryutaroh Matsumoto, 2016

机译：一点代数几何码的相对广义Hamming权重

Relative Generalized Hamming Weights of One-Point Algebraic Geometric Codes The paper is registered to the ORCID of Olav Geil. For more details please visit Ryutaroh Matsumoto: http://orcid.org/0000-0002-5085-8879 or Diego Ruano: http://orcid.rg/0000-0001-7304-0087

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