Presentation | 2003/3/20 Construction of Elliptic Curves with a suitable Embedding Degree Tarou HIRAI, Atsuko MIYAJI, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Cryptosystems and signature systems using Weil-pairing and Tate-Pairing was proposed. These systems require construction of the elliptic curves with a suitable embedding degree. Barreto el. and Morain el. proposed a method, in which a ratio of the size of definition field of elliptic curve to subgroup of elliptic curve order was approximately 2. In this paper, we compare two methods. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Weil-Pairing / Tate-Pairing / embedding degree / constructing elliptic curves / CM method |
Paper # | IT2002-86,ISEC2002-144,SST2002-192,ITS2002-169 |
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Conference Information | |
Committee | ISEC |
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Conference Date | 2003/3/20(1days) |
Place (in Japanese) | (See Japanese page) |
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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) | Construction of Elliptic Curves with a suitable Embedding Degree |
Sub Title (in English) | |
Keyword(1) | Weil-Pairing |
Keyword(2) | Tate-Pairing |
Keyword(3) | embedding degree |
Keyword(4) | constructing elliptic curves |
Keyword(5) | CM method |
1st Author's Name | Tarou HIRAI |
1st Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology (JAIST)() |
2nd Author's Name | Atsuko MIYAJI |
2nd Author's Affiliation | School of Information Science, Japan Advanced Institute of Science and Technology (JAIST) |
Date | 2003/3/20 |
Paper # | IT2002-86,ISEC2002-144,SST2002-192,ITS2002-169 |
Volume (vol) | vol.102 |
Number (no) | 744 |
Page | pp.pp.- |
#Pages | 6 |
Date of Issue |