On the relative generalized hamming weights of a 4-dimensional linear code and a subcode with dimension one

Zihui Liu; Wende Chen

doi:10.1007/s11424-012-0192-4

On the relative generalized hamming weights of a 4-dimensional linear code and a subcode with dimension one

Zihui Liu^*
, Wende Chen

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Finite projective geometry method is effectively used to study the relative generalized Hamming weights of 4-dimensional linear codes, which are divided into 9 classes in order to get much more information about the relative generalized Hamming weights, and part of the relative generalized Hamming weights of a 4-dimensional linear code with a 1-dimensional subcode are determined.

源语言	英语
页（从-至）	821-832
页数	12
期刊	Journal of Systems Science and Complexity
卷	25
期	4
DOI	https://doi.org/10.1007/s11424-012-0192-4
出版状态	已出版 - 8月 2012

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10.1007/s11424-012-0192-4

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abstract = "Finite projective geometry method is effectively used to study the relative generalized Hamming weights of 4-dimensional linear codes, which are divided into 9 classes in order to get much more information about the relative generalized Hamming weights, and part of the relative generalized Hamming weights of a 4-dimensional linear code with a 1-dimensional subcode are determined.",

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AB - Finite projective geometry method is effectively used to study the relative generalized Hamming weights of 4-dimensional linear codes, which are divided into 9 classes in order to get much more information about the relative generalized Hamming weights, and part of the relative generalized Hamming weights of a 4-dimensional linear code with a 1-dimensional subcode are determined.

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KW - relative generalized Hamming weight

KW - support weight

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M3 - Article

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On the relative generalized hamming weights of a 4-dimensional linear code and a subcode with dimension one

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