Weight hierarchies of linear codes satisfying the almost chain condition
文献类型：期刊论文
| 作者 | Chen, W; Klove, T |
| 刊名 | SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES
 |
| 出版日期 | 2003-06-01 |
| 卷号 | 46期号:3页码:175-186 |
| 关键词 | weight hierarchy linear code almost chain condition |
| ISSN号 | 1009-2757 |
| 英文摘要 | The weight hierarchy of a linear [n, k; q] code C over GF(q) is the sequence (d(1), d(2),... d(k)) where d(r) is the size of the smallest support of an r-dimensional subcode of C. An [n, k; q] code satisfies the chain condition if there exists subcodes D-1 subset of D-2 subset of ... subset of D-k = C of C such that D-r has dimension r and support of size d(r) for all r. Further, C satisfies the almost chain condition if it does not satisfy the chain condition, but there exist subcodes D-r of dimension r and support of size d(r) for all r such that D-2 subset of D-3 subset of ... subset of D-k = C and D-1 subset of D-3. A simple necessary condition for a sequence to be the weight hierarchy of a code satisfying the almost chain condition is given. Further, explicit constructions of such codes are given, showing that in almost all cases, the necessary conditions are also sufficient. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000183668200002 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18133]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, W |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Informat Secur Ctr,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, W,Klove, T. Weight hierarchies of linear codes satisfying the almost chain condition[J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,2003,46(3):175-186. |
| APA | Chen, W,&Klove, T.(2003).Weight hierarchies of linear codes satisfying the almost chain condition.SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES,46(3),175-186. |
| MLA | Chen, W,et al."Weight hierarchies of linear codes satisfying the almost chain condition".SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 46.3(2003):175-186. |
入库方式： OAI收割
来源：数学与系统科学研究院
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