Weight distribution moments of random linear/coset codes

Vladimir Blinovsky; Uri Erez; Simon Litsyn

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Weight distribution moments of random linear/coset codes

机译：随机线性/陪伴码的权重分布矩

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摘要

A simple method is proposed for the calculation of moments of the weight function of a random linear code. Applying this method we compute the exact expression for the third-order covariance of the weight function. The results are also extended to random coset codes.

机译：提出了一种简单的方法来计算随机线性码的权函数的矩。应用此方法，我们可以计算权重函数的三阶协方差的精确表达式。结果也扩展到随机陪集代码。

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来源
《Designs, Codes and Crytography》 |2010年第2期|P.127-138|共12页
作者
Vladimir Blinovsky; Uri Erez; Simon Litsyn;
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作者单位

Institute of Information Transmission Problems, B. Karetnyi 19, Moscow, Russia;

rnSchool of Electrical Engineering, Tel Aviv University, Ramat Aviv 69978, Israel;

rnSchool of Electrical Engineering, Tel Aviv University, Ramat Aviv 69978, Israel;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
weight distribution; moments; random code; coset code;

机译：体重分布时刻随机码陪伴码;

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专利

1. Weight distribution moments of random linear/coset codes [J] . Vladimir Blinovsky, Uri Erez, Simon Litsyn Designs, Codes and Cryptography . 2010,第2期

机译：随机线性/陪伴码的权重分布矩
2. Support Weight Enumerators and Coset Weight Distributions of Isodual Codes [J] . OLGICA MILENKOVIC Designs, Codes and Crytography . 2005,第1期

机译：等权码的支持权重枚举和陪集权重分布
3. Weight Distributions of the Coset Leaders of Some Reed-Muller Codes and BCH Codes [J] . Masaya Maeda, Toru Fujiwara IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences . 2001,第3期

机译：某些Reed-Muller码和BCH码的陪伴首长的权重分布
4. On the coset weight distributions of the Z₄-linearGoethals codes [C] . Helleseth T., Zinoviev V. Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on . -1

机译：Z _{4 -线性的陪集权重分布哥特码}
5. Design and Analysis of Random Linear Network Coding Schemes: Dense Codes, Chunked Codes and Overlapped Chunked Codes. [D] . Heidarzadeh, Anoosheh. 2013

机译：随机线性网络编码方案的设计和分析：密集码，分块码和重叠分块码。
6. Exploiting Small Leakages in Masks to Turn a Second-Order Attack into a First-Order Attack and Improved Rotating Substitution Box Masking with Linear Code Cosets [O] . Alexander DeTrano, Naghmeh Karimi, Ramesh Karri, 2015

机译：利用掩膜中的小泄漏将二阶攻击转变为一阶攻击并利用线性代码陪集改进旋转替换盒掩蔽
7. Support weight enumerators and coset weight distributions of isodual codes [O] . Olgica Milenkovic 2003

机译：支持重量调查器和同步代码的陪集重量分布
8. The weight distribution and randomness of linear codes [R] . Cheung, K.-M. 1989

机译：线性码的权重分布和随机性

Weight distribution moments of random linear/coset codes

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