Solving the multi-discrete logarithm problems over a group of elliptic curves with prime order
文献类型：期刊论文
| 作者 | Li, JQ; Liu, ML; Xiao, LL |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2005-12-01 |
| 卷号 | 21期号:6页码:1443-1450 |
| 关键词 | Pollard's rho method parallel collision search algorithm elliptic curve discrete logarithm distinguished point |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-005-0632-3 |
| 英文摘要 | In this paper, we discuss the expected number of steps in solving multi-discrete logarithm problems over a group of elliptic curves with prime order by using Pollard's rho method and parallel collision search algorithm. We prove that when using these algorithms to compute discrete logarithms, the knowledge gained through computing many logarithms does not make it easier for finding other logarithms. Hence in an elliptic cryptosystem, it is safe for many users to share the same curve, with different private keys. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000236388600020 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1545]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, JQ |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, JQ,Liu, ML,Xiao, LL. Solving the multi-discrete logarithm problems over a group of elliptic curves with prime order[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(6):1443-1450. |
| APA | Li, JQ,Liu, ML,&Xiao, LL.(2005).Solving the multi-discrete logarithm problems over a group of elliptic curves with prime order.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(6),1443-1450. |
| MLA | Li, JQ,et al."Solving the multi-discrete logarithm problems over a group of elliptic curves with prime order".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.6(2005):1443-1450. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。