Codes over algebraic integer rings of cyclotomic fields
文献类型：期刊论文
| 作者 | Fan, Y; Gao, Y |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2004 |
| 卷号 | 50期号:1页码:194-200 |
| 关键词 | algebraic integer ring cyclotomic field Mannheim error correction Mannheim weight multidimensional signals |
| ISSN号 | 0018-9448 |
| DOI | 10.1109/TIT.2003.821983 |
| 英文摘要 | Regarding any finite field as a residue field of the algebraic integer ring of a cyclotomic field, we select a system of representatives in the ring with minimal Manhattan metric, and introduce a Mannheim weight on the finite field. The linear codes over the finite field with the Mannheim weight are discussed. A geometric method to compute the representatives in Gaussian integers is provided. |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000188371800016 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/890]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Fan, Y |
| 作者单位 | 1.Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fan, Y,Gao, Y. Codes over algebraic integer rings of cyclotomic fields[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2004,50(1):194-200. |
| APA | Fan, Y,&Gao, Y.(2004).Codes over algebraic integer rings of cyclotomic fields.IEEE TRANSACTIONS ON INFORMATION THEORY,50(1),194-200. |
| MLA | Fan, Y,et al."Codes over algebraic integer rings of cyclotomic fields".IEEE TRANSACTIONS ON INFORMATION THEORY 50.1(2004):194-200. |
入库方式： OAI收割
来源：数学与系统科学研究院
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