On the second greedy weight for linear codes of dimension 3
文献类型：期刊论文
| 作者 | Chen, WD; Klove, T |
| 刊名 | DISCRETE MATHEMATICS
 |
| 出版日期 | 2001-10-28 |
| 卷号 | 241期号:1-3页码:171-187 |
| ISSN号 | 0012-365X |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171917500016 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16063]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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