| Presentation | 1999/11/8 The Decision Diffie-Hellman problem and probabilistic encryptions Taiichi SAITO, Takeshi KOSHIBA, Akihiro YAMAMURA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We define an equivalence relation on the direct product of cyclic groups, reformulate the Decision Diffie-Hellman problem using the equivalence and discuss its variants. An easy proof is given for the equivalence between the Decision Diffie-Hellman assumption and the Matching Diffie-Hellman assumption. We prove that a variant of the Matching Diffie-Hellman assumption, which asserts that randomly chosen classes are computationally indistinguishable, is equivalent to the Decision Diffie-Hellman assumption. We propose two probabilistic encryptions semantically secure under the Decision Diffie-Hellman assumption. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Decision Diffie-Hellman Problem / Matching Diffie-Hellman Problem / Probabilistic encryption |
| Paper # | ISEC99-52 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 1999/11/8(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) | The Decision Diffie-Hellman problem and probabilistic encryptions |
| Sub Title (in English) | |
| Keyword(1) | Decision Diffie-Hellman Problem |
| Keyword(2) | Matching Diffie-Hellman Problem |
| Keyword(3) | Probabilistic encryption |
| 1st Author's Name | Taiichi SAITO |
| 1st Author's Affiliation | Research Project of Info-Communication Security, Telecommunications Advancement Organization of Japan() |
| 2nd Author's Name | Takeshi KOSHIBA |
| 2nd Author's Affiliation | Research Project of Info-Communication Security, Telecommunications Advancement Organization of Japan |
| 3rd Author's Name | Akihiro YAMAMURA |
| 3rd Author's Affiliation | Communication Research Laboratory |
| Date | 1999/11/8 |
| Paper # | ISEC99-52 |
| Volume (vol) | vol.99 |
| Number (no) | 414 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |