A simple proof of the formal duality of the Kerdock and Preparata codes
文献类型：期刊论文
| 作者 | Wan, ZX |
| 刊名 | CHINESE SCIENCE BULLETIN
 |
| 出版日期 | 2000-07-01 |
| 卷号 | 45期号:14页码:1279-1282 |
| 关键词 | Z(4)-code Kerdock code Preparata code formal duality |
| ISSN号 | 1001-6538 |
| 英文摘要 | The nonlinearity of the Z(2)-Kerdock code Km+1, where m is an odd integer greater than or equal to 3, is not at all obvious. By regarding Km+1 as the binary image of the Z(4)-Kerdock code K(m) under the Gray map([1]), a simple proof can be achieved (cf. Theorems 8.7 and 8.9 of [2]). Similarly, the formal duality of the Z(2)-Kerdock code Km+1 and the Z(2)-Preparata code Pm+1 is even more not at all obvious. A simple proof is given in the present note, by regarding Km+1 as the binary image of K (m) and using the duality of k(m) and the Z(4)-Preparata code P(m) established in [1]. |
| 语种 | 英语 |
| WOS记录号 | WOS:000089246900006 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15556]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wan, ZX |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wan, ZX. A simple proof of the formal duality of the Kerdock and Preparata codes[J]. CHINESE SCIENCE BULLETIN,2000,45(14):1279-1282. |
| APA | Wan, ZX.(2000).A simple proof of the formal duality of the Kerdock and Preparata codes.CHINESE SCIENCE BULLETIN,45(14),1279-1282. |
| MLA | Wan, ZX."A simple proof of the formal duality of the Kerdock and Preparata codes".CHINESE SCIENCE BULLETIN 45.14(2000):1279-1282. |
入库方式： OAI收割
来源：数学与系统科学研究院
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