| Presentation | 2004-07-20 A Method for Checking the Parity of (#E-1)/2 Mayumi OBARA, Yasuyuki NOGAMI, Yoshitaka MORIKAWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | When we try to generate a certain order elliptic curve by using CM method, we have two candidate curves at the last step of the calculations; the one is given from the j-invariant, and the other is its twisted elliptic curve. In this paper, we propose a method for distinguishing these two candidate curves. This method is based on the fact that the parities of (#E_+-1)/2 and (#E_--1)/2 are reciprocal to each other, where #E_+ and #E_- denote the orders of the two candidate curves. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | CM method / irreducible cubic polynomial / quadratic power residue/non residue |
| Paper # | ISEC2004-13 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2004/7/13(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 Method for Checking the Parity of (#E-1)/2 |
| Sub Title (in English) | |
| Keyword(1) | CM method |
| Keyword(2) | irreducible cubic polynomial |
| Keyword(3) | quadratic power residue/non residue |
| 1st Author's Name | Mayumi OBARA |
| 1st Author's Affiliation | Communication Network Engineering, Okayama University() |
| 2nd Author's Name | Yasuyuki NOGAMI |
| 2nd Author's Affiliation | Communication Network Engineering, Okayama University |
| 3rd Author's Name | Yoshitaka MORIKAWA |
| 3rd Author's Affiliation | Communication Network Engineering, Okayama University |
| Date | 2004-07-20 |
| Paper # | ISEC2004-13 |
| Volume (vol) | vol.104 |
| Number (no) | 199 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |