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

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	821-832
Number of pages	12
Journal	Journal of Systems Science and Complexity
Volume	25
Issue number	4
DOIs	https://doi.org/10.1007/s11424-012-0192-4
Publication status	Published - Aug 2012

Keywords

Generalized Hamming weight
relative difference sequence
relative generalized Hamming weight
support weight

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10.1007/s11424-012-0192-4

Cite this

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

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.

KW - Generalized Hamming weight

KW - relative difference sequence

KW - relative generalized Hamming weight

KW - support weight

UR - https://www.scopus.com/pages/publications/84865541126

U2 - 10.1007/s11424-012-0192-4

DO - 10.1007/s11424-012-0192-4

M3 - Article

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JO - Journal of Systems Science and Complexity

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IS - 4

ER -

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

Abstract

Keywords

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