On the depth distribution of linear codes
文献类型：期刊论文
| 作者 | Luo, Y; Fu, FW; Wei, VKW |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2000-09-01 |
| 卷号 | 46期号:6页码:2197-2203 |
| 关键词 | depth depth distribution depth-equivalence classes derivative linear codes Reed-Muller codes ternary Golay code |
| ISSN号 | 0018-9448 |
| 英文摘要 | The depth distribution of a linear code was recently introduced by Etzion. In this correspondence, a number of basic and interesting properties for the depth of finite words and the depth distribution of linear codes are obtained. In addition, we study the enumeration problem of counting the number of linear subcodes with the prescribed depth constraints, and derive some explicit and interesting enumeration formulas. Furthermore, we determine the depth distribution of Reed-Muller code RM (m, r). Finally, we show that there are exactly nine depth-equivalence classes for the ternary [11, 6, 5] Golay codes. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000089325800021 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15032]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Luo, Y |
| 作者单位 | 1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Chinese Univ Hong Kong, Dept Informat Engn, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Y,Fu, FW,Wei, VKW. On the depth distribution of linear codes[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2000,46(6):2197-2203. |
| APA | Luo, Y,Fu, FW,&Wei, VKW.(2000).On the depth distribution of linear codes.IEEE TRANSACTIONS ON INFORMATION THEORY,46(6),2197-2203. |
| MLA | Luo, Y,et al."On the depth distribution of linear codes".IEEE TRANSACTIONS ON INFORMATION THEORY 46.6(2000):2197-2203. |
入库方式： OAI收割
来源：数学与系统科学研究院
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