Solving a discrete logarithm problem with auxiliary input on a 160-bit elliptic curve

Yumi Sakemi, Goichiro Hanaoka, Tetsuya Izu, Masahiko Takenaka, Masaya Yasuda

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

11 引用 (Scopus)

抜粋

A discrete logarithm problem with auxiliary input (DLPwAI) is a problem to find α from G, αG, α dG in an additive cyclic group generated by an element G of prime order r, and a positive integer d satisfying d|(r - 1). The infeasibility of this problem assures the security of some cryptographic schemes. In 2006, Cheon proposed a novel algorithm for solving DLPwAI (Cheon's algorithm). This paper reports our experimental results of Cheon's algorithm by implementing it with some speeding-up techniques. In fact, we have succeeded to solve DLPwAI on a pairing-friendly elliptic curve of 160-bit order in 1314 core days. Implications of our experiments on cryptographic schemes are also discussed.

元の言語英語
ホスト出版物のタイトルPublic Key Cryptography, PKC 2012 - 15th International Conference on Practice and Theory in Public Key Cryptography, Proceedings
ページ595-608
ページ数14
DOI
出版物ステータス出版済み - 6 5 2012
外部発表Yes
イベント15th International Conference on Practice and Theory in Public Key Cryptography, PKC 2012 - Darmstadt, ドイツ
継続期間: 5 21 20125 23 2012

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)
7293 LNCS
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他15th International Conference on Practice and Theory in Public Key Cryptography, PKC 2012
ドイツ
Darmstadt
期間5/21/125/23/12

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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  • これを引用

    Sakemi, Y., Hanaoka, G., Izu, T., Takenaka, M., & Yasuda, M. (2012). Solving a discrete logarithm problem with auxiliary input on a 160-bit elliptic curve. : Public Key Cryptography, PKC 2012 - 15th International Conference on Practice and Theory in Public Key Cryptography, Proceedings (pp. 595-608). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 7293 LNCS). https://doi.org/10.1007/978-3-642-30057-8_35