| Presentation | 2003/3/19 A Construction of Short Public-Key Cryptosystem over Extensiion Field Masaho KASAHARA, Ryuichi SAKAI, |
|---|---|
| PDF Download Page | PDF download Page Link |
| 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 of rate 1.0 based on multivariate polynomials, are proved not secure, although the size of the public-key assumes very large value. In this paper, we several types of new constructions of public-key cryptosystems based on two classes of randomly generated simultaneous equations, namely, a based on bijective transformation and another class based on random transformation. One of the features of the proposed cryptosystems is that the size of the public-key is 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 between 80 and 160. 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 oarge compared with the conventional pubic-key cryptosystems based on multivariate polynomials. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Public-key cryptosystem / Simultaneous equations / Multivariate polynomials / Digital signature / Invulnerability to Quantum-Computer-Attack |
| Paper # | IT2002-58,OSEC2002-116,SST2002-164,ITS2002-141 |
| Date of Issue |
| Conference Information | |
| Committee | ISEC |
|---|---|
| Conference Date | 2003/3/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Information Security (ISEC) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Construction of Short Public-Key Cryptosystem over Extensiion Field |
| Sub Title (in English) | |
| Keyword(1) | Public-key cryptosystem |
| Keyword(2) | Simultaneous equations |
| Keyword(3) | Multivariate polynomials |
| Keyword(4) | Digital signature |
| Keyword(5) | Invulnerability to Quantum-Computer-Attack |
| 1st Author's Name | Masaho KASAHARA |
| 1st Author's Affiliation | Faculty of Informatics, Osaka Gakuin University() |
| 2nd Author's Name | Ryuichi SAKAI |
| 2nd Author's Affiliation | Faculty of Engineering, Osaka Electro-Communication University |
| Date | 2003/3/19 |
| Paper # | IT2002-58,OSEC2002-116,SST2002-164,ITS2002-141 |
| Volume (vol) | vol.102 |
| Number (no) | 743 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |