| Presentation | 2007-11-22 Knapsack Cryptosystem on Elliptic Curves of Trace Tow Koichiro NORO, Kunikatsu KOBAYASHI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The LLL algorithm is strong algorithm that decrypts the additional type Knapsack cryptosystem. However, the LLL algorithm is not applicable in the addition in the group that rational points of elliptic curves on finite fields do. Therefore, we think the Knapsack cryptosystem constructed on elliptic curves. For elliptic curves of trace 2, the computational complexity of the decryption can be made a subexponential time by converting the discrete logarithm problem on elliptic curves into the discrete logarithm problem on the multiplication group of finite fields by using the pairing. However, the computational complexity of the decryption can be made a polynomial time by taking properties of the pairing and calculations of the multiplication type Knapsack cryptosystem. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Knapsack cryptosystem / LLL algorithm / elliptic curves of trace 2 / pairing |
| Paper # | ISEC2007-100,OIS2007-72 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2007/11/15(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Knapsack Cryptosystem on Elliptic Curves of Trace Tow |
| Sub Title (in English) | |
| Keyword(1) | Knapsack cryptosystem |
| Keyword(2) | LLL algorithm |
| Keyword(3) | elliptic curves of trace 2 |
| Keyword(4) | pairing |
| 1st Author's Name | Koichiro NORO |
| 1st Author's Affiliation | Faculty of Engineering, Yamagata University() |
| 2nd Author's Name | Kunikatsu KOBAYASHI |
| 2nd Author's Affiliation | Faculty of Engineering, Yamagata University |
| Date | 2007-11-22 |
| Paper # | ISEC2007-100,OIS2007-72 |
| Volume (vol) | vol.107 |
| Number (no) | 346 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |