Paper Abstract and Keywords |
Presentation |
2004-07-20 09:55
A Method for Checking the Parity of (#E-1)/2 Mayumi Obara, Yasuyuki Nogami, Yoshitaka Morikawa (Okayama Univ.) |
Abstract |
(in Japanese) |
(See Japanese page) |
(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) |
(in English) |
CM method / irreducible cubic polynomial / quadratic power residue/non residue / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 104, no. 199, ISEC2004-13, pp. 1-6, July 2004. |
Paper # |
ISEC2004-13 |
Date of Issue |
2004-07-13 (ISEC) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
ISEC IPSJ-CSEC |
Conference Date |
2004-07-20 - 2004-07-21 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tokushima Univ. |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2004-07-ISEC-JPSCSEC |
Language |
Japanese |
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) |
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Keyword(1) |
CM method |
Keyword(2) |
irreducible cubic polynomial |
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quadratic power residue/non residue |
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1st Author's Name |
Mayumi Obara |
1st Author's Affiliation |
Okayama Univercity (Okayama Univ.) |
2nd Author's Name |
Yasuyuki Nogami |
2nd Author's Affiliation |
Okayama Univercity (Okayama Univ.) |
3rd Author's Name |
Yoshitaka Morikawa |
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Okayama Univercity (Okayama Univ.) |
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Speaker |
Author-1 |
Date Time |
2004-07-20 09:55:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2004-13 |
Volume (vol) |
vol.104 |
Number (no) |
no.199 |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2004-07-13 (ISEC) |