| Presentation | 1997/9/12 Design of Cryptosystems Based on Abelian Varieties over Extension Fields Kazuto MATSUO, Jinhui CHAO, Shigeo TSUJII, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In recent years, cryptosystems have been proposed based on discrete logarithm prolems over Jacobian varieties of Abelian varieties including hyperelliptic curves. However, there is no efficient method known to construct such varieties over finite extension fields. In this paper, we present a, construction method of secure discrete logarithm problems on Jacobian varieties of Abelian varieties over finite field by using Abelian varieties with CM. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Discrete Logarithm Problems / Hyperelliptic Curves / Abelian Varieties / Jacobian Varieties / Complex Multiplication / Finite Fields. |
| Paper # | ISEC97-30 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 1997/9/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Design of Cryptosystems Based on Abelian Varieties over Extension Fields |
| Sub Title (in English) | |
| Keyword(1) | Discrete Logarithm Problems |
| Keyword(2) | Hyperelliptic Curves |
| Keyword(3) | Abelian Varieties |
| Keyword(4) | Jacobian Varieties |
| Keyword(5) | Complex Multiplication |
| Keyword(6) | Finite Fields. |
| 1st Author's Name | Kazuto MATSUO |
| 1st Author's Affiliation | Toyo Communication Equipment Co., Ltd.() |
| 2nd Author's Name | Jinhui CHAO |
| 2nd Author's Affiliation | Dept. of Electrical and Electronics Eng. Chuo Univ. |
| 3rd Author's Name | Shigeo TSUJII |
| 3rd Author's Affiliation | Dept. of Information Systems Eng. Chuo Univ. |
| Date | 1997/9/12 |
| Paper # | ISEC97-30 |
| Volume (vol) | vol.97 |
| Number (no) | 252 |
| Page | pp.pp.- |
| #Pages | 10 |
| Date of Issue | |