Presentation 2008-07-24
On the security of Piece In Hand Matrix Multivariate Public Key Cryptosystems : MPKC systems proposed in SCIS'07
Toshinobu KANEKO, Yasutaka IGARASHI, Daisuke ITOH, Kiyoshi HAYAKAWA,
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Abstract(in English) MOCHIGOMA (Piece in Hand) system is an encryption algorithm proposed by Tujii et al. in 2003, for enhancing the security of multivariate type public key cryptosystems. They illustrate the effectiveness of MOCHIGOMA system by applying it to Sequential Solution Method public key cryptosystem (MOCHIGOMA+SSMPKC), which has been shown to be insecure. After the proposal of MOCHIGOMA system they have continuously proposed many variants of the system. In this paper, we analyze the security of MOCHIGOA+enhanced-SSMPKC cryptosystem, which is proposed by Tadaki et al. in SCIS 2007. We show an algorithm to derive equivalent private keys from the public key of the system. In a practical parameter size, the security of MOCHIGOMA+enhanced-SSMPKC is insufficient.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) multivariate type public key cryptosystems / MOCHIGOMA system / Piece in Hand system / Sequential Solution Method public key cryptosystem / cryptanalysis
Paper # ISEC2008-17,SITE2008-11
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Committee ISEC
Conference Date 2008/7/17(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) On the security of Piece In Hand Matrix Multivariate Public Key Cryptosystems : MPKC systems proposed in SCIS'07
Sub Title (in English)
Keyword(1) multivariate type public key cryptosystems
Keyword(2) MOCHIGOMA system
Keyword(3) Piece in Hand system
Keyword(4) Sequential Solution Method public key cryptosystem
Keyword(5) cryptanalysis
1st Author's Name Toshinobu KANEKO
1st Author's Affiliation Tokyo University of Science()
2nd Author's Name Yasutaka IGARASHI
2nd Author's Affiliation Tokyo University of Science
3rd Author's Name Daisuke ITOH
3rd Author's Affiliation Tokyo University of Science
4th Author's Name Kiyoshi HAYAKAWA
4th Author's Affiliation Tokyo University of Science
Date 2008-07-24
Paper # ISEC2008-17,SITE2008-11
Volume (vol) vol.108
Number (no) 161
Page pp.pp.-
#Pages 6
Date of Issue