| Presentation | 2004/5/12 Sieving Region, and Relationship between Numbers of Required Relations and Factor Bases on the Number Field Sieve Kazumaro AOKI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This manuscript studies, sieving region, and the relationship between numbers of required relations and factor bases on the number field sieve. We report that only a few percent improvement can be achieved by the better sieving region for the definition polynomial on line sieve. We also report that about 90% of the number of factor bases including large primes is sufficient to collect relations with several assumptions, and the result agrees with an experiment. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | number field sieve / line sieve / sieving region / factor base / large prime |
| Paper # | ISEC2004-4 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2004/5/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
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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) | Sieving Region, and Relationship between Numbers of Required Relations and Factor Bases on the Number Field Sieve |
| Sub Title (in English) | |
| Keyword(1) | number field sieve |
| Keyword(2) | line sieve |
| Keyword(3) | sieving region |
| Keyword(4) | factor base |
| Keyword(5) | large prime |
| 1st Author's Name | Kazumaro AOKI |
| 1st Author's Affiliation | NTT() |
| Date | 2004/5/12 |
| Paper # | ISEC2004-4 |
| Volume (vol) | vol.104 |
| Number (no) | 53 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |