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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/9597
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| タイトル: | Co-Z Addition Formulæ and Binary Ladders on Elliptic Curves |
| 著者: | Goundar, Raveen Ravinesh
Joye, Marc
Miyaji, Atsuko |
| キーワード: | Elliptic Curves
Meloni’s technique
Jacobian coordinates
regular binary ladders
implementation attacks |
| 発行日: | 2010 |
| 出版者: | Springer |
| 誌名: | Lecture Notes in Computer Science |
| 巻: | 6225/2010 |
| 開始ページ: | 65 |
| 終了ページ: | 79 |
| DOI: | 10.1007/978-3-642-15031-9_5 |
| 抄録: | Meloni recently introduced a new type of arithmetic on elliptic curves when adding projective points sharing the same Z-coordinate. This paper presents further co-Z addition formulæ for various point additions on Weierstraß elliptic curves. It explains how the use of conjugate point addition and other implementation tricks allow one to develop efficient scalar multiplication algorithms making use of co-Z arithmetic. Specifically, this paper describes efficient co-Z based versions of Montgomery ladder and Joye’s double-add algorithm. Further, the resulting implementations are protected against a large variety of implementation attacks. |
| Rights: | This is the author-created version of Springer, Raveen Ravinesh Goundar, Marc Joye and Atsuko Miyaji , Lecture Notes in Computer Science, 6225/2010, 2010, 65-79. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-15031-9_5 |
| URI: | http://hdl.handle.net/10119/9597 |
| 資料タイプ: | author |
| 出現コレクション: | b10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
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記述 |
サイズ | 形式 |
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| 15713-1.pdf | | 165Kb | Adobe PDF | 見る/開く |
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