On the third greedy weight of 4-dimensional codes

Liang Bai; Zihui Liu

doi:10.1007/s10623-019-00614-z

On the third greedy weight of 4-dimensional codes

Liang Bai, Zihui Liu^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The upper bounds on the difference between the third greedy weight and the third generalized Hamming weight of 4-dimensional q-ary codes are obtained by using the finite geometry method. The codes achieving the upper bounds are constructed, and these codes are optimal with respect to the security when they are used in the wire-tap channel of type II with the coset coding scheme.

源语言	英语
页（从-至）	2213-2230
页数	18
期刊	Designs, Codes, and Cryptography
卷	87
期	10
DOI	https://doi.org/10.1007/s10623-019-00614-z
出版状态	已出版 - 1 10月 2019

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Bai, L., & Liu, Z. (2019). On the third greedy weight of 4-dimensional codes. Designs, Codes, and Cryptography, 87(10), 2213-2230. https://doi.org/10.1007/s10623-019-00614-z

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abstract = "The upper bounds on the difference between the third greedy weight and the third generalized Hamming weight of 4-dimensional q-ary codes are obtained by using the finite geometry method. The codes achieving the upper bounds are constructed, and these codes are optimal with respect to the security when they are used in the wire-tap channel of type II with the coset coding scheme.",

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AB - The upper bounds on the difference between the third greedy weight and the third generalized Hamming weight of 4-dimensional q-ary codes are obtained by using the finite geometry method. The codes achieving the upper bounds are constructed, and these codes are optimal with respect to the security when they are used in the wire-tap channel of type II with the coset coding scheme.

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On the third greedy weight of 4-dimensional codes

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