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ファイル | 記述 | サイズ | フォーマット | |
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B90-12.pdf | 144.78 kB | Adobe PDF | 見る/開く |
タイトル: | Counting superspecial Richelot isogenies by reduced automorphism groups (Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties) |
著者: | TAKASHIMA, Katsuyuki |
キーワード: | 14K02 14G50 14H37 14H40 Richelot isogenies superspecial abelian surfaces reduced group of automorphisms genus-2 isogeny cryptography |
発行日: | Jun-2022 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B90 |
開始ページ: | 185 |
終了ページ: | 193 |
抄録: | The recent cryptanalysis by Costello and Smith [10] employed the subgraphs whose vertices consist of decomposed principally polarized abelian varieties, hence it is important to study the subgraphs in isogeny-based cryptography. Katsura and Takashima [22] initiated the investigation of the decomposed abelian surface subgraphs in the genus-2 case. This paper surveys the work, aiming to provide a kind of handbook for applying our results to cryptography. |
著作権等: | © 2022 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
URI: | http://hdl.handle.net/2433/276281 |
出現コレクション: | B90 Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties |
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