| Presentation | 2001/12/10 On the Square Root Exponentiation Chisato Konoma, Masahiro Mambo, Hiroki Shizuya, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is not known that the integer factoring reduces to the discrete logarithm problem modulo a prime, or the converse holds. We introduce a problem called Computational Square Root Exponentiation, CSRE, and give a characterization for the reduction above in terms of the complexity of CSRE. We also show that under some practical assumption, CSRE lies between CDH and DDH, and that DDH lies between CSRE and DSRE, where CDH, DDH and DSRE stand for Computational Diffie-Hellman problem, Decisional DH problem, and Decisional SRE problem, respectively. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | integer factoring / discrete logarithm problem / square root exponentiation / Diffie-Hellman problem |
| Paper # | ISEC2001-88 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2001/12/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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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) | On the Square Root Exponentiation |
| Sub Title (in English) | |
| Keyword(1) | integer factoring |
| Keyword(2) | discrete logarithm problem |
| Keyword(3) | square root exponentiation |
| Keyword(4) | Diffie-Hellman problem |
| 1st Author's Name | Chisato Konoma |
| 1st Author's Affiliation | Dept.of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University() |
| 2nd Author's Name | Masahiro Mambo |
| 2nd Author's Affiliation | Dept.of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Hiroki Shizuya |
| 3rd Author's Affiliation | Dept.of Computer and Mathematical Sciences, Graduate School of Information Sciences, Tohoku University |
| Date | 2001/12/10 |
| Paper # | ISEC2001-88 |
| Volume (vol) | vol.101 |
| Number (no) | 507 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |