Presentation 2000/9/21
Efficient Signature Schemes Based on Factoring
Takeshi Okamoto, Mitsuru Tada, Atsuko Miyaji,
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Abstract(in English) Recently, Poupard and Stern proposed on the fly signature schemes, that aim at minimizing the on-line computational work for the signer[26, 27]. So this signature is suitable for a smart card application, whose CPU power or memory is rather limited. However there exist some drawbacks, like requiring much work in the verification etc. In this paper, we propose efficient on the fly signature schemes which are derived from three pass identification scheme. To make the protocols, we improve the Poupard-Stern scheme[27]in the computational work of both signature generation and verification, and also in the bit size of signatures by extending two primes of RSA modulus to three or more primes. The efficiency of our scheme is a bit surprising: the complexity of off-line and on-line signature generation, and that of verification are reduced by at least 55%, 33% and 47% respectively, and the size of signature is also reduced by at least 23%, which is compared with the previous scheme. Furthermore our schemes can be linked naturally with user's certification data. From the practical point of view, our scheme is more desirable since it can manage public key efficiently. We also show that our schemes obtain provable security based on factoring problem.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) On the Fly Signature / Identification / Zero-Knowledge / Certification Data / Computational Work and Factoring Problem
Paper # ISEC2000-61
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Conference Information
Committee ISEC
Conference Date 2000/9/21(1days)
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Registration To Information Security (ISEC)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Efficient Signature Schemes Based on Factoring
Sub Title (in English)
Keyword(1) On the Fly Signature
Keyword(2) Identification
Keyword(3) Zero-Knowledge
Keyword(4) Certification Data
Keyword(5) Computational Work and Factoring Problem
1st Author's Name Takeshi Okamoto
1st Author's Affiliation School of Information Science, Japan Advanced Institute of Science and Technology(JAIST)()
2nd Author's Name Mitsuru Tada
2nd Author's Affiliation School of Information Science, Japan Advanced Institute of Science and Technology(JAIST)
3rd Author's Name Atsuko Miyaji
3rd Author's Affiliation School of Information Science, Japan Advanced Institute of Science and Technology(JAIST)
Date 2000/9/21
Paper # ISEC2000-61
Volume (vol) vol.100
Number (no) 323
Page pp.pp.-
#Pages 8
Date of Issue