Presentation | 1993/10/25 On Discrete Logarithm Problems over Elliptic Curves with p-divisible Groups Jinhui Chao, Hiroyuki Ikemoto, Kazuo Tanada, Shigeo Tsujii, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | In this paper,we compare the numbers of the isogeny classes of the p-divisible curves over a primary field and its finite extension.Then the probability of a random curve to be p-divisible one is calculated.It is shown that although over a primary ground field,there is only one isogelly class of the p-divisible curves, we can expect a very large amount of candidates over its extention F_q,However,these kind of curves may not be found easily by a random search.This discussion is also extended to p-divisible hyperelliptic curves,which seems to provide a rich source of p- divisible isogelly classes. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Cryptography / Discrete logarithm problems / Elliptic curves |
Paper # | ISEC93-42 |
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Committee | ISEC |
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Conference Date | 1993/10/25(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 | ENG |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | On Discrete Logarithm Problems over Elliptic Curves with p-divisible Groups |
Sub Title (in English) | |
Keyword(1) | Cryptography |
Keyword(2) | Discrete logarithm problems |
Keyword(3) | Elliptic curves |
1st Author's Name | Jinhui Chao |
1st Author's Affiliation | Department of Electrical and Electronic Engineering,Faculty of Science and Engineering,Chuo University() |
2nd Author's Name | Hiroyuki Ikemoto |
2nd Author's Affiliation | Department of Electrical and Electronic Engineering,Tokyo Institute of Technology |
3rd Author's Name | Kazuo Tanada |
3rd Author's Affiliation | Department of Electrical and Electronic Engineering,Tokyo Institute of Technology |
4th Author's Name | Shigeo Tsujii |
4th Author's Affiliation | Department of Electrical and Electronic Engineering,Tokyo Institute of Technology |
Date | 1993/10/25 |
Paper # | ISEC93-42 |
Volume (vol) | vol.93 |
Number (no) | 295 |
Page | pp.pp.- |
#Pages | 6 |
Date of Issue |