Presentation 2007-09-07
A New Class of Public Key Cryptosystem Constructed on the Basis of Multivariate Polynomials Randomly Generated
Masao KASAHARA,
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Abstract(in Japanese) (See Japanese page)
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 are constructed on the basis of randomness. We present three classes of random quadratic transformation for the construction of a new class of RSE(g)PKC referred to as K(I)・RSE(g)PKC. We show that a sub-class of K(I)・RSE(g)PKC, K(I)・RSSE(g)PKC where random singular simultaneous equations of a large width t (number of variables) are used, 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.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Public-key cryptosystem / Simultaneous equations of degree g / Multivariate polynomials / Grobner basis / Patarin's attack / Braeken-Wolf-Preneel attack
Paper # ISEC2007-81
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Committee ISEC
Conference Date 2007/8/31(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A New Class of Public Key Cryptosystem Constructed on the Basis of Multivariate Polynomials Randomly Generated
Sub Title (in English)
Keyword(1) Public-key cryptosystem
Keyword(2) Simultaneous equations of degree g
Keyword(3) Multivariate polynomials
Keyword(4) Grobner basis
Keyword(5) Patarin's attack
Keyword(6) Braeken-Wolf-Preneel attack
1st Author's Name Masao KASAHARA
1st Author's Affiliation Faculty of Informatics, Osaka Gakuin University()
Date 2007-09-07
Paper # ISEC2007-81
Volume (vol) vol.107
Number (no) 209
Page pp.pp.-
#Pages 7
Date of Issue