Presentation 2002/11/7
Efficient Jacobian Group Arithmetic on Algebraic Curves
Ryuichi HARASAWA,
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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.
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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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Committee ISEC
Conference Date 2002/11/7(1days)
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Title (in Japanese) (See Japanese page)
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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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