Further Results on the Relative Generalized Hamming Weight

Zihui Liu; Yao Wei

doi:10.1109/TIT.2021.3078064

Further Results on the Relative Generalized Hamming Weight

Zihui Liu^*, Yao Wei

^*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

4 引用（Scopus）

摘要

Based on the applications to the wire-tap channel and bounds on the relative generalized Hamming weight, we will introduce optimal codes of type mathcal {I} and type mathcal {II}. We will give some necessary conditions and the explicit construction for a linear code mathcal {C} to be optimal of type mathcal {I} and mathcal {II} with respect to a subcode mathcal {C}_{1}. We will also present a new bound on two different parameters of the relative generalized Hamming weight.

源语言	英语
页（从-至）	6344-6355
页数	12
期刊	IEEE Transactions on Information Theory
卷	67
期	10
DOI	https://doi.org/10.1109/TIT.2021.3078064
出版状态	已出版 - 10月 2021

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Liu, Z., & Wei, Y. (2021). Further Results on the Relative Generalized Hamming Weight. IEEE Transactions on Information Theory, 67(10), 6344-6355. https://doi.org/10.1109/TIT.2021.3078064

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AB - Based on the applications to the wire-tap channel and bounds on the relative generalized Hamming weight, we will introduce optimal codes of type mathcal {I} and type mathcal {II}. We will give some necessary conditions and the explicit construction for a linear code mathcal {C} to be optimal of type mathcal {I} and mathcal {II} with respect to a subcode mathcal {C}_{1}. We will also present a new bound on two different parameters of the relative generalized Hamming weight.

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Further Results on the Relative Generalized Hamming Weight

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