On error distance of Reed-Solomon codes
文献类型：期刊论文
| 作者 | Li YuJuan1; Wan DaQing2 |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2008-11-01 |
| 卷号 | 51期号:11页码:1982-1988 |
| 关键词 | Reed-Solomon code error distance deep hole character sum |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-008-0066-3 |
| 英文摘要 | The complexity of decoding the standard Reed-Solomon code is a well known open problem in coding theory. The main problem is to compute the error distance of a received word. Using the Weil bound for character sum estimate, we show that the error distance can be determined precisely when the degree of the received word is small. As an application of our method, we give a significant improvement of the recent bound of Cheng-Murray on non-existence of deep holes (words with maximal error distance). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000259820400003 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6033]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li YuJuan |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA |
| 推荐引用方式 GB/T 7714 | Li YuJuan,Wan DaQing. On error distance of Reed-Solomon codes[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(11):1982-1988. |
| APA | Li YuJuan,&Wan DaQing.(2008).On error distance of Reed-Solomon codes.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(11),1982-1988. |
| MLA | Li YuJuan,et al."On error distance of Reed-Solomon codes".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.11(2008):1982-1988. |
入库方式： OAI收割
来源：数学与系统科学研究院
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