The multi-variable modular polynomial and its applications to cryptography

Tsuyoshi Takagi, Shozo Naito

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

5 引用 (Scopus)

抜粋

We prove the extension of the Håstad algorithm to the multi-variable modular polynomial. Although the Håstad attack is one of the strongest known attacks on RSA-type cryptosystems, the original Håstad attack is generally not applicable to multi-variable cryptosystems, where the plain text space (the encryption domain) is multi-variable. As an application of our extension, we attack RSA-type cryptosystems over elliptic curves and show the critical number of encrypted texts.

元の言語英語
ホスト出版物のタイトルAlgorithms and Computation - 7th International Symposium, ISAAC 1996, Proceedings
編集者Tetsuo Asano, Yoshihide Igarashi, Hiroshi Nagamochi, Satoru Miyano, Subhash Suri
出版者Springer Verlag
ページ386-396
ページ数11
ISBN(印刷物)3540620486, 9783540620488
DOI
出版物ステータス出版済み - 1 1 1996
イベント7th International Symposium on Algorithms and Computation, ISAAC 1996 - Osaka, 日本
継続期間: 12 16 199612 18 1996

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
1178
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他7th International Symposium on Algorithms and Computation, ISAAC 1996
日本
Osaka
期間12/16/9612/18/96

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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  • これを引用

    Takagi, T., & Naito, S. (1996). The multi-variable modular polynomial and its applications to cryptography. : T. Asano, Y. Igarashi, H. Nagamochi, S. Miyano, & S. Suri (版), Algorithms and Computation - 7th International Symposium, ISAAC 1996, Proceedings (pp. 386-396). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 1178). Springer Verlag. https://doi.org/10.1007/bfb0009515