| Presentation | 2004-09-17 A trial of GNFS implementation (Part VI) : lattice sieve Kazumaro AOKI, Yuji KIDA, Hiroki UEDA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The number field sieve is considered as the fastest algorithm for factoring an integer which does not include small factors and larger than several hundred bits. The sieving in the number field sieve is the most time-consuming step. The sieving can be done by line sieve which is simple and frequently used nowadays, but lattice sieve is indispensable for factoring an integer which is larger than about 500 bits long by general number field sieve. However, lattice sieve is very complex and no literature writes the detailed implementation method. This manuscript describes lattice sieve in detail. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | integer factoring / number field sieve / lattice sieve / Gauss reduction / binary GCD |
| Paper # | ISEC2004-68 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2004/9/10(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) | A trial of GNFS implementation (Part VI) : lattice sieve |
| Sub Title (in English) | |
| Keyword(1) | integer factoring |
| Keyword(2) | number field sieve |
| Keyword(3) | lattice sieve |
| Keyword(4) | Gauss reduction |
| Keyword(5) | binary GCD |
| 1st Author's Name | Kazumaro AOKI |
| 1st Author's Affiliation | NTT() |
| 2nd Author's Name | Yuji KIDA |
| 2nd Author's Affiliation | Department of Mathematics, College of Science, Rikkyo University |
| 3rd Author's Name | Hiroki UEDA |
| 3rd Author's Affiliation | NTT |
| Date | 2004-09-17 |
| Paper # | ISEC2004-68 |
| Volume (vol) | vol.104 |
| Number (no) | 315 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |