2010 Fiscal Year Final Research Report
Study on Security Analysis of Elliptic and Hyperelliptic Cryptosystems against Weil Descent Attack
| Project/Area Number |
20560370
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Communication/Network engineering
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| Research Institution | Chuo University |
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Principal Investigator |
CHAO Jinhui Chuo University, 理工学部, 教授 (60227345)
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| Co-Investigator(Renkei-kenkyūsha) |
FUMIYUKI Momose 中央大学, 大学院・理工学研究科, 教授 (80182187)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 暗号理論 / 楕円暗号 / 超楕円暗号 / 安全性解析 / Weil decent攻撃 |
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| Research Abstract |
This research is to analyze security of elliptic and hyperelliptic cryptosystems, which are supposed to be the safest cryptosystems, against the recently developed Weil descent GHS attack. In particular, we will show a complete classification of all elliptic and hyperelliptic curved used in the cryptosystems which are weak against the Weil descent GHS attack, find the number and classes of these weak curves and algorithms to test if a random curve is safe or not. These results then provide a full understanding on risk and damage of the cryptosystems again the GHS attack.
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