Finite projective geometries and classification of the weight hierarchies of codes (I)

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	Finite projective geometries and classification of the weight hierarchies of codes (I)
	Chen, WD ; Klove, T
	2004-04-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:2 页码:333-348
摘要	The weight hierarchy of a binary linear [n, k] code C is the sequence (d(1), d(2),..., d(k)), where d(r) is the smallest support of an r-dimensional subcode of C. The codes of dimension 4 are collected in classes and the possible weight hierarchies in each class is determined by finite projective geometries. The possible weight hierarchies in class A, B, C, D are determined in Part (I). The possible weight hierarchies in class E, F, G, H, I are determined in Part (II).
关键词	weight hierarchy support weight finite projective geometries binary linear code chain condition difference sequence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222607700014
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/858
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, WD
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Ctr Informat Secur, Lab Syst & Control, Beijing 100080, Peoples R China 2.Univ Bergen, Bergen High Technol Ctr, Dept Informat, N-5020 Bergen, Norway
推荐引用方式 GB/T 7714	Chen, WD,Klove, T. Finite projective geometries and classification of the weight hierarchies of codes (I)[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(2):333-348.
APA	Chen, WD,&Klove, T.(2004).Finite projective geometries and classification of the weight hierarchies of codes (I).ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(2),333-348.
MLA	Chen, WD,et al."Finite projective geometries and classification of the weight hierarchies of codes (I)".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.2(2004):333-348.