| Presentation | 2008-02-29 New Classes of Public Key Cryptosystem Constructed on the Basis of Multivariate Polynomials and Random Coding : Another class of K(III)RSE(g)PKC Masao KASAHARA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The present author proposed a new class of Public-Key Cryptosystem (PKC) based on Random Simultaneous Equation of degree g(RSE(g)PKC) reffered to as K(III)・RSE(g)PKC. 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. In this paper, we present a new class of RSE(g)PKC based on K(III)・RSE(g)PKC. We present several examples and 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. We present several examples of K(III)RSE(g)PKC whose public key takes on a smaller value compared with the conventional SE(g)PKC (Examples 3 and 4). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Public-key cryptosystem / Multivariate cryptosystem / Random coding / Grobner basis |
| Paper # | IT2007-57,ISEC2007-154,WBS2007-88 |
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| Conference Information | |
| Committee | WBS |
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| Conference Date | 2008/2/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Wideband System(WBS) |
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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 : Another class of K(III)RSE(g)PKC |
| 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 | 2008-02-29 |
| Paper # | IT2007-57,ISEC2007-154,WBS2007-88 |
| Volume (vol) | vol.107 |
| Number (no) | 503 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |