| Presentation | 1999/11/8 Remarks on the Lattice Factoring Method Naoki KANAYAMA, Shigenori UCHIYAMA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recently, Boneh et al. proposed the algorithm for factoring integers, the so-called LFM (Lattice Factoring Method). This algorithm employs the LLL algorithm. The LFM is for the integers of the form N=p^γq, and this algorithm is very effective for large γ, namely it runs in polynomial time in logN for large γ, in particular. Although for small γ, e.g. N=pq, p^2q, this is an exponential time algorithm in logN. In this paper, we give some remarks on this algorithm and propose a certain method for improvement of the LFM. Furthermore, by experimental results, we show that the running time of the proposed algorithm is shorter than that of the original LFM. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Integer Factorization Problem / LLL algorithm / LFM |
| Paper # | ISEC99-61 |
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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) |
| Topics (in English) | |
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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) | Remarks on the Lattice Factoring Method |
| Sub Title (in English) | |
| Keyword(1) | Integer Factorization Problem |
| Keyword(2) | LLL algorithm |
| Keyword(3) | LFM |
| 1st Author's Name | Naoki KANAYAMA |
| 1st Author's Affiliation | Graduate School of Science & Engineering, Waseda University() |
| 2nd Author's Name | Shigenori UCHIYAMA |
| 2nd Author's Affiliation | NTT Laboratories |
| Date | 1999/11/8 |
| Paper # | ISEC99-61 |
| Volume (vol) | vol.99 |
| Number (no) | 414 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |