The relative generalized Hamming weight of linear q-ary codes and their subcodes

Zihui Liu; Wende Chen; Yuan Luo

doi:10.1007/s10623-008-9170-1

The relative generalized Hamming weight of linear q-ary codes and their subcodes

Zihui Liu^*, Wende Chen, Yuan Luo

^*Corresponding author for this work

School of Mathematics and Statistics

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

29 Citations (Scopus)

Abstract

In this article, some properties of the relative generalized Hamming weight (RGHW) of linear codes and their subcodes are developed with techniques in finite projective geometry. The relative generalized Hamming weights of almost all 4-dimensional q-ary linear codes and their subcodes are determined.

Original language	English
Pages (from-to)	111-123
Number of pages	13
Journal	Designs, Codes, and Cryptography
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s10623-008-9170-1
Publication status	Published - Aug 2008

Keywords

Finite projective geometry
Linear codes
Relative difference sequence
Relative generalized Hamming weight

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10.1007/s10623-008-9170-1

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title = "The relative generalized Hamming weight of linear q-ary codes and their subcodes",

abstract = "In this article, some properties of the relative generalized Hamming weight (RGHW) of linear codes and their subcodes are developed with techniques in finite projective geometry. The relative generalized Hamming weights of almost all 4-dimensional q-ary linear codes and their subcodes are determined.",

keywords = "Finite projective geometry, Linear codes, Relative difference sequence, Relative generalized Hamming weight",

author = "Zihui Liu and Wende Chen and Yuan Luo",

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AU - Chen, Wende

AU - Luo, Yuan

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AB - In this article, some properties of the relative generalized Hamming weight (RGHW) of linear codes and their subcodes are developed with techniques in finite projective geometry. The relative generalized Hamming weights of almost all 4-dimensional q-ary linear codes and their subcodes are determined.

KW - Finite projective geometry

KW - Linear codes

KW - Relative difference sequence

KW - Relative generalized Hamming weight

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JO - Designs, Codes, and Cryptography

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The relative generalized Hamming weight of linear q-ary codes and their subcodes

Abstract

Keywords

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