On the suitable curves for elliptic and hyperelliptic curve cryptography
Project/Area Number |
20500018
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Fundamental theory of informatics
|
Research Institution | Osaka Prefecture University |
Principal Investigator |
TAKAHASHI Tetusya Osaka Prefecture University, 総合教育研究機構, 教授 (20212011)
|
Co-Investigator(Kenkyū-buntansha) |
KAWAZOE Mitsuru 大阪府立大学, 総合教育研究機構, 准教授 (10295735)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
Keywords | 楕円曲線暗号 / 超楕円曲線暗号 / ペアリング暗号 / 楕円曲線暗 / 超楕円曲線亜 |
Research Abstract |
We construct many paring-friendly genus 2 hyperelliptic curves of the form y^2=x^5+ ax, y^2=x^5+a and genus 4 hyperelliptic curves of the form y^2=x^9+ax by using the closed point counting formula of the Jacobian of these hyperelliptic curves.
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Report
(4 results)
Research Products
(16 results)