| Presentation | 1994/12/16 Cryptanalytic Attack on the CR Cryptosystem Using Lattice Basis Reduction Hideo Shimizu, Akira Hayashi, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | All the knapsack cryptosystems except the one proposed by Chor and Rivest(CR)have been broken with the low-density attack in which the lattice basis reduction algorithm is applied to the Lagarias-Odlyzko lattice.Because of its non-linearity,the CR cryptosystem can beat off the attack based on the Lagarias-Odlyzko lattice.In this paper,we propose a new attack method in which the lattice basis reduction algorithm is applied to a new lattice derived from the Lagarias-Odlyzko lattice.Numerical experiments show that the CR cryptosystem with a small security parameter size is broken with a high probability.It still remains to study whether the new attack method is effective even for a larger security parameter size. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | CR knapsack cryptosystem / cryptanalysis / lattice basis reduction / LLL algorithm / low density attack |
| Paper # | ISEC94-36,SST94-59 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 1994/12/16(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) | Cryptanalytic Attack on the CR Cryptosystem Using Lattice Basis Reduction |
| Sub Title (in English) | |
| Keyword(1) | CR knapsack cryptosystem |
| Keyword(2) | cryptanalysis |
| Keyword(3) | lattice basis reduction |
| Keyword(4) | LLL algorithm |
| Keyword(5) | low density attack |
| 1st Author's Name | Hideo Shimizu |
| 1st Author's Affiliation | Research and Development Center,Toshiba Corporation() |
| 2nd Author's Name | Akira Hayashi |
| 2nd Author's Affiliation | Information Computer Engineering,Kanazawa Institute of Technology |
| Date | 1994/12/16 |
| Paper # | ISEC94-36,SST94-59 |
| Volume (vol) | vol.94 |
| Number (no) | 419 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |