Presentation 2007-12-19
New Classes of Public Key Cryptosystem Constructed on the Basis of Multivariate Polynomials and Random Coding
Masao KASAHARA,
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Abstract(in English) In this paper, a new class of Public-Key Cryptosystem (PKC) based on Random Simultaneous Equation of degree g (RSE (g) PKC) is presented. The proposed schemes use a new class of trap-doors based on two classes of transformation, i.e. random transformation and message-dependent random transformation. For constructing the proposed scheme, two random transformations φ and χ are used. The transformation φ would yield a breakthrough to a field of multivaliate cryptosystem in a sense that φ is dependent on a message. Namely it is a time variant transformation on the basis of random coding. We show that the proposed PKC's, can be secure against the various excellent attacks such as Grobner basis attack, Patarin's attack and Braeken-Wolf-Preneel attacks, due to the random transformations using new trap-doors.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Public-key cryptosystem / Multivariate cryptosystem / Random coding / Grobner basis
Paper # ISEC2007-118
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Committee ISEC
Conference Date 2007/12/12(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) New Classes of Public Key Cryptosystem Constructed on the Basis of Multivariate Polynomials and Random Coding
Sub Title (in English)
Keyword(1) Public-key cryptosystem
Keyword(2) Multivariate cryptosystem
Keyword(3) Random coding
Keyword(4) Grobner basis
1st Author's Name Masao KASAHARA
1st Author's Affiliation Faculty of Informatics, Osaka Gakuin University()
Date 2007-12-19
Paper # ISEC2007-118
Volume (vol) vol.107
Number (no) 397
Page pp.pp.-
#Pages 7
Date of Issue