Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2
文献类型：期刊论文
| 作者 | Deng, YP ; Liu, ML
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2006-02-01 |
| 卷号 | 49期号:2页码:173-184 |
| 关键词 | hyperelliptic curves hyperelliptic curve cryptosystems Jacobian groups isomorphism classes |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-004-0043-4 |
| 英文摘要 | In this paper we study the computation of the number of isomorphism classes of hyperelliptic curves of genus 2 over finite fields F-q with q even. We show the formula of the number of isomorphism classes, that is, for q = 2(m), if 4 inverted iota m, then the formula is 2q(3) + q(2) - q; if 4 vertical bar m, then the formula is 2q(3) + q(2) - q + 8. These results can be used in the classification problems and the hyperelliptic curve cryptosystems. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000236155900003 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3491]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Deng, YP |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, YP,Liu, ML. Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(2):173-184. |
| APA | Deng, YP,&Liu, ML.(2006).Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(2),173-184. |
| MLA | Deng, YP,et al."Isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic 2".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.2(2006):173-184. |
入库方式： OAI收割
来源：数学与系统科学研究院
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