| Presentation | 2015-06-13 Fast Search Method for Moat Problems on Prime Elements in Imaginary Quadratic Fields Shinji Kinoshita, Hajime Matsui, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The moat problems on prime elements in imaginary quadratic fields are unsolved problems that ``Can one walk to infinity on prime elements in imaginary quadratic fields taking steps within bounded length?''When one cannot walk to infinity taking steps within k, it is said that there exists a moat of k. The previous researches have aimed to find moats of larger k's. In this research, we have confirmed the existence of moats of larger k's by applying wall follower algorithm. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Gaussian primes / Eisenstein primes / primary test / wall follower algorithm |
| Paper # | COMP2015-10 |
| Date of Issue | 2015-06-05 (COMP) |
| Conference Information | |
| Committee | COMP / IPSJ-AL |
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| Conference Date | 2015/6/12(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Koichi Wada(Hosei Univ.) |
| Vice Chair | Toshimitsu Masuzawa(Osaka Univ.) |
| Secretary | Toshimitsu Masuzawa(Hiroshima Univ.) / (Univ. of Electro-Comm.) |
| Assistant | |
| Paper Information | |
| Registration To | Technical Committee on Theoretical Foundations of Computing / Special Interest Group on Algorithms |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Fast Search Method for Moat Problems on Prime Elements in Imaginary Quadratic Fields |
| Sub Title (in English) | |
| Keyword(1) | Gaussian primes |
| Keyword(2) | Eisenstein primes |
| Keyword(3) | primary test |
| Keyword(4) | wall follower algorithm |
| 1st Author's Name | Shinji Kinoshita |
| 1st Author's Affiliation | Toyota Technological Institute(TTI) |
| 2nd Author's Name | Hajime Matsui |
| 2nd Author's Affiliation | Toyota Technological Institute(TTI) |
| Date | 2015-06-13 |
| Paper # | COMP2015-10 |
| Volume (vol) | vol.115 |
| Number (no) | COMP-84 |
| Page | pp.pp.67-74(COMP), |
| #Pages | 8 |
| Date of Issue | 2015-06-05 (COMP) |