| Presentation | 2004-07-20 A Construction of Public Key Cryptosystem based on Random Singular and Non-singular Simultaneous Equations over Extension Field Masao KASAHARA, Ryuichi SAKAI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Extensive studies have been made of the public-key cryptosystems based on multivariate polynomials. However most of the proposed public-key cryptosystems based on multivariate polynomials, are proved not secure, although the size of the public-key assumes a very large value. In this paper, we propose several types of new constructions of public-key cryptosystems based on two classes of randomly generated simultaneous equations, namely, a class of simultaneous equations based on bijective transformation and another class of simultaneous equations based on random transformation which are not necessarily non-singular. One of the features of the proposed cryptosystems is that the size of the public-key is made much shortened compared with the conventional public-key cryptosystem based on multivariate polynomials. We also show that the sets of random simultaneous equations significantly improve the utilization factor of the public-key space. We show an example of the proposed cryptosystem over extension field where the size of the cipher-text takes on the small values of 160 ～ 200(in bits). We see that our proposed system, regardless of the small size of public-key, seems to be apparently secure, in a sense that the utilization factor is sufficiently large compared with the conventional public-key cryptosystems based on multivariate polynomials and that the public keys constitute non-singular simultanous equations. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | multi-variate polynomial / public-key cryptosystem / random simultaneos equation |
| Paper # | ISEC2004-19 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2004/7/13(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Construction of Public Key Cryptosystem based on Random Singular and Non-singular Simultaneous Equations over Extension Field |
| Sub Title (in English) | |
| Keyword(1) | multi-variate polynomial |
| Keyword(2) | public-key cryptosystem |
| Keyword(3) | random simultaneos equation |
| 1st Author's Name | Masao KASAHARA |
| 1st Author's Affiliation | Osaka Gakuin University() |
| 2nd Author's Name | Ryuichi SAKAI |
| 2nd Author's Affiliation | Osaka Electro-Communication University |
| Date | 2004-07-20 |
| Paper # | ISEC2004-19 |
| Volume (vol) | vol.104 |
| Number (no) | 199 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |