On the second greedy weight for linear codes of dimension 3

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	On the second greedy weight for linear codes of dimension 3
	Chen, WD ; Klove, T
	2001-10-28
发表期刊	DISCRETE MATHEMATICS
ISSN	0012-365X
卷号	241 期号:1-3 页码:171-187
摘要	The difference g(2) - d(2) for a q-ary linear [n, 3, d] code C is studied. Here d(2) is the second generalized Hamming weight, that is, the smallest size of the support of a 2-dimensional subcode of C, and g(2) is the second greedy weight, that is, the smallest size of the support of a 2-dimensional subcode of C which contains a codeword of weight d. For codes of dimension 3, it is shown that the problem is essentially equivalent to finding certain weighting of the points in the projective plane, and weighting which give the maximal value of g(2) - d(2) are determined in almost all cases. In particular max(g(2) - d(2)) is determined in all cases for q less than or equal to 9. (C) 2001 Elsevier Science B.V. All rights reserved.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000171917500016
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16064
专题	中国科学院数学与系统科学研究院
通讯作者	Klove, T
作者单位	1.Univ Bergen, HIB, Dept Informat, N-5020 Bergen, Norway 2.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Syst & Control Lab, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, WD,Klove, T. On the second greedy weight for linear codes of dimension 3[J]. DISCRETE MATHEMATICS,2001,241(1-3):171-187.
APA	Chen, WD,&Klove, T.(2001).On the second greedy weight for linear codes of dimension 3.DISCRETE MATHEMATICS,241(1-3),171-187.
MLA	Chen, WD,et al."On the second greedy weight for linear codes of dimension 3".DISCRETE MATHEMATICS 241.1-3(2001):171-187.