Presentation | 2002/11/7 Efficient Jacobian Group Arithmetic on Algebraic Curves Ryuichi HARASAWA, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Recently, the author proposed a method for performing Jacobian group arithmetic of all algebraic function fields of one variable defined over a finite field with at least one place of degree one. In this paper, we provide a more detailed analysis on the method, and evaluate the complexity more strictly. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | algebraic function fields / Jacobian group arithmetic / ideal class group / C_α_1,…,α_t curves |
Paper # | ISEC2002-72 |
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Conference Information | |
Committee | ISEC |
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Conference Date | 2002/11/7(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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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) | Efficient Jacobian Group Arithmetic on Algebraic Curves |
Sub Title (in English) | |
Keyword(1) | algebraic function fields |
Keyword(2) | Jacobian group arithmetic |
Keyword(3) | ideal class group |
Keyword(4) | C_α_1,…,α_t curves |
1st Author's Name | Ryuichi HARASAWA |
1st Author's Affiliation | Department of Mathematics, Graduate School of Science, Osaka University() |
Date | 2002/11/7 |
Paper # | ISEC2002-72 |
Volume (vol) | vol.102 |
Number (no) | 436 |
Page | pp.pp.- |
#Pages | 7 |
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