Presentation | 2006-11-28 Application of Number Theory to Elliptic-Curve Generation Atsko MIYAJI, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | The elliptic curve, which is one of topics in the number theory, has been applied to the field of information security since the elliptic curve cryptosystem was proposed in 1985. Recently, a bilinear map defined on an elliptic curve has been applied to the information security and, thus, various unsolved application such as ID-based encryption, etc have been realized. The generation of an elliptic curve with an efficient bilinear paring is related to some problems in the number theory. In this paper, we introduce the relation between the generation of elliptic curves and problems of the number theory. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | elliptic curve / information security / number theory |
Paper # | IT2006-46 |
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Committee | IT |
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Conference Date | 2006/11/21(1days) |
Place (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Information Theory (IT) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Application of Number Theory to Elliptic-Curve Generation |
Sub Title (in English) | |
Keyword(1) | elliptic curve |
Keyword(2) | information security |
Keyword(3) | number theory |
1st Author's Name | Atsko MIYAJI |
1st Author's Affiliation | Information Science, Japan Advanced Institute of Science and Technology() |
Date | 2006-11-28 |
Paper # | IT2006-46 |
Volume (vol) | vol.106 |
Number (no) | 384 |
Page | pp.pp.- |
#Pages | 6 |
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