Presentation 2010-07-02
DLP with Auxiliary Input and the Security of Cryptographic Protocols
Tetsuya IZU, Masahiko TAKENAKA, Goichiro HANAOKA, Masaya YASUDA,
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Abstract(in English) The security of publick-key cryptographic protocols are reduced to the infeasibility of underlying mathematical problems. More cryptographic protocols have been designed, more new mathematical problems have been introduced. Especially in paring-based protocols, a various problems related to the Diffie-Hellman problem (Diffie-Hellman related problems) have been used. Compared to the fundamental mathematical problems such as the integer factoring problem or the discrete logarithm problem, the infeasibility of these newly introduced problems are not fully evaluated yet. In 2006, Cheon proposed an algorithm to solve the discrete logarithm problem with auxiliary input (DLPwAI), however, since the problem is tightly related to the Diffie-Hellman related problems, Cheon's algorithm also solves Diffie-Hellman related problems. This manuscript discusses the relation between the security of cryptographic protocols based on Diffie-Hellman related problems and Cheon's algorithm.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Discrete Logarithm Problem with Auxiliary Input (DLPwAI) / Cheon's Algorithm / Public-key Cryptographic Protocol / Diffie-Hellman Related Problem
Paper # ISEC2010-35,SITE2010-31,ICSS2010-41
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Committee ICSS
Conference Date 2010/6/24(1days)
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Registration To Information and Communication System Security (ICSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) DLP with Auxiliary Input and the Security of Cryptographic Protocols
Sub Title (in English)
Keyword(1) Discrete Logarithm Problem with Auxiliary Input (DLPwAI)
Keyword(2) Cheon's Algorithm
Keyword(3) Public-key Cryptographic Protocol
Keyword(4) Diffie-Hellman Related Problem
1st Author's Name Tetsuya IZU
1st Author's Affiliation FUJITSU LABORATORIES Ltd., Secure Computing Lab.()
2nd Author's Name Masahiko TAKENAKA
2nd Author's Affiliation FUJITSU LABORATORIES Ltd., Secure Computing Lab.
3rd Author's Name Goichiro HANAOKA
3rd Author's Affiliation Research Center for Information Security (RCIS), National Institute of Advanced Industrial Science and Technology (AIST)
4th Author's Name Masaya YASUDA
4th Author's Affiliation FUJITSU LABORATORIES Ltd., Secure Computing Lab.
Date 2010-07-02
Paper # ISEC2010-35,SITE2010-31,ICSS2010-41
Volume (vol) vol.110
Number (no) 115
Page pp.pp.-
#Pages 6
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