Presentation 2017-12-22
Optimizing Bleichenbacher's Attack on Schnorr-Type Signatures with Barely Biased Nonces
Akira Takahashi, Mehdi Tibouchi, Masayuki Abe, Tatsuaki Okamoto,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Bleichenbacher's attack is a key recovery attack technique exploiting biased nonces in Schnorr-type signatures. While attacking very small biases was thought to be out of reach inprevious work due to high memory consumption, we tackle the problem using the Schroeppel--Shamir algorithm, whichallows us to trade space complexity for time complexity. We provide a concrete estimate of the time-memory trade-off obtained withthat approach and demonstrate that it makes the attack achievable inpractice against groups of larger order and smaller nonce biases thanpreviously thought tractable.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Schnorr-type signature / Nonce bias / Bleichenbacher’s attack
Paper # ISEC2017-84,COMP2017-38
Date of Issue 2017-12-14 (ISEC, COMP)

Conference Information
Committee ISEC / COMP
Conference Date 2017/12/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Eikokuji Campus, Kochi University of Technology
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Kazuto Ogawa(NHK) / Hiro Ito(Univ. of Electro-Comm.)
Vice Chair Atsushi Fujioka(Kanagawa Univ.) / Shiho Moriai(NICT) / Yushi Uno(Osaka Pref. Univ.)
Secretary Atsushi Fujioka(Tohoku Univ.) / Shiho Moriai(Tokai Univ.) / Yushi Uno(Seikei Univ.)
Assistant Keita Emura(NICT) / Yuichi Komano(TOSHIBA) / Yuuji Suga(IIJ)

Paper Information
Registration To Technical Committee on Information Security / Technical Committee on Theoretical Foundations of Computing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Optimizing Bleichenbacher's Attack on Schnorr-Type Signatures with Barely Biased Nonces
Sub Title (in English)
Keyword(1) Schnorr-type signature
Keyword(2) Nonce bias
Keyword(3) Bleichenbacher’s attack
1st Author's Name Akira Takahashi
1st Author's Affiliation Kyoto University(Kyoto Univ.)
2nd Author's Name Mehdi Tibouchi
2nd Author's Affiliation NTT Secure Platform Laboratories(NTT)
3rd Author's Name Masayuki Abe
3rd Author's Affiliation NTT Secure Platform Laboratories(NTT)
4th Author's Name Tatsuaki Okamoto
4th Author's Affiliation NTT Secure Platform Laboratories(NTT)
Date 2017-12-22
Paper # ISEC2017-84,COMP2017-38
Volume (vol) vol.117
Number (no) ISEC-369,COMP-370
Page pp.pp.83-88(ISEC), pp.83-88(COMP),
#Pages 6
Date of Issue 2017-12-14 (ISEC, COMP)