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GEOMETRIC ASPECTS OF THE ADDITION ALGORITHM ON THE PICARD GROUP OF A Cab CURVE
https://doi.org/10.24789/00003797
https://doi.org/10.24789/00003797c7a53c15-3317-4027-a3af-22e9b7166dcc
名前 / ファイル | ライセンス | アクション |
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本文を見る(PDFファイル) (207.6 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2013-05-16 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | GEOMETRIC ASPECTS OF THE ADDITION ALGORITHM ON THE PICARD GROUP OF A Cab CURVE | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.24789/00003797 | |||||
ID登録タイプ | JaLC | |||||
著者 |
MIURA, Shinji
× MIURA, Shinji× SEKIGUCHI, Tsutomu |
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著者別名 | ||||||
著者別名 | ||||||
姓名 | 關口, 力 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In the previous paper [3], we proposed to use the Picard group of the plane model, which is so-called Cab model admitting singularities, of a curve of any genus for realizing a faster addition algorithm on the Jacobian group of the curve. In the paper, we present the explicit addition algorithm on the Picard group of a Cab curve from the geometric view point, which will give a generalization of Cantor’s algorithm on the Jacobian group of a hyperelliptic curves and a supplement of the argument given in [4]. | |||||
書誌情報 |
中央大学理工学研究所論文集 巻 17, p. 1-18, 発行日 2012-03-31 |
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出版者 | ||||||
出版者 | 中央大学理工学研究所 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1343-0068 | |||||
権利 | ||||||
権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |