Isomorphism classes of hyperelliptic curves of genus 3 over finite fields
文献类型：期刊论文
| 作者 | Deng, YP
|
| 刊名 | FINITE FIELDS AND THEIR APPLICATIONS
 |
| 出版日期 | 2006-04-01 |
| 卷号 | 12期号:2页码:248-282 |
| 关键词 | hyperelliptic curves hyperelliptic curve cryptosystems Jacobians isomorphism classes stabilizer |
| ISSN号 | 1071-5797 |
| DOI | 10.1016/j.ffa.2005.05.006 |
| 英文摘要 | In this paper we present a direct method to compute the number of isomorphism classes of hyperelliptic curves of genus 3 over finite fields F,,. The number of isomorphism classes is a polynomial in q of degree 5. In all the cases we show an explicit formula for this polynomial. These results can be used in the classification problems and the hyperelliptic curve cryptosystems. (c) 2005 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000236212400006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3072]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Deng, YP |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Deng, YP. Isomorphism classes of hyperelliptic curves of genus 3 over finite fields[J]. FINITE FIELDS AND THEIR APPLICATIONS,2006,12(2):248-282. |
| APA | Deng, YP.(2006).Isomorphism classes of hyperelliptic curves of genus 3 over finite fields.FINITE FIELDS AND THEIR APPLICATIONS,12(2),248-282. |
| MLA | Deng, YP."Isomorphism classes of hyperelliptic curves of genus 3 over finite fields".FINITE FIELDS AND THEIR APPLICATIONS 12.2(2006):248-282. |
入库方式： OAI收割
来源：数学与系统科学研究院
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