| Presentation | 2001/5/10 A Simple Approach to Secretly Sharing a Factoring Witness in Publicly-Verifiable manner Eiichiro Fujisaki, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We give a simple solution to secretly sharing a factoring witness (or RSA secret-key d) in a publicly verifiable manner. This PVSS protocol is useful for various cryptosystems such as the fair-cryptosystem of RSA and the threshold and proactive RSA. As a primitive, we present a proof-of-knowledge protocol that works in a cyclic group of an unknown order. For this kind of protocols, the proof of soundness seems to have been provided incompletely in the literature [11,17,6], even though they appear in many applications, for instance, PVSS [20,12], group signature [4,5] and optimistic fair-exchange [2,1]. We provide a rigorous proof for our protocol. As PVSS for factoring witness, our solution is conceptually simple and the first practical and provably-secure scheme under some reasonable assumptions and, as PVSS for discrete log, it is almost at simple as that in [18]. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Publicly verifiable secret sharing / Okamoto-Uchiyama encryption / Verifiable encryption. |
| Paper # | ISEC2001-4 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2001/5/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| 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 Simple Approach to Secretly Sharing a Factoring Witness in Publicly-Verifiable manner |
| Sub Title (in English) | |
| Keyword(1) | Publicly verifiable secret sharing |
| Keyword(2) | Okamoto-Uchiyama encryption |
| Keyword(3) | Verifiable encryption. |
| 1st Author's Name | Eiichiro Fujisaki |
| 1st Author's Affiliation | NTT Laboratories() |
| Date | 2001/5/10 |
| Paper # | ISEC2001-4 |
| Volume (vol) | vol.101 |
| Number (no) | 47 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |