| Presentation | 2001/7/18 A Note on Computationally Sound Proof in Group of Unknown Order Damagard IVAN, Eiichiro FUJISAKI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Suppose we are given an Abelian group G of unknown order, such as RSA group (Z/nZ)^×, where the group operations in G can be efficiently computed.Let g, h be elements in G and let c=g^xh^r be a commitment to x (where the group operation is defined as the multiplication).In this paper we revisit a sound-proof-of-knowledge protocol for the representation problem in a group of unknown order - that is, a protocol in which the prover convinces the verifier that he knows the representation of c to base g, h in G.The proof of soundness for this protocol was initially provided in [5], but we have recently found it incomplete, although the protocol and its variants appear in many literatures, for instance PVSS [6], group signature [3, 4]and optimistic fair-exchange [2, 1].In this paper we fix a bug in [5]and prove this protocol indeed sound, trying to make the setting more general and fundamental. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Computationally sound proof / argument / zero-knowledge |
| Paper # | ISEC2001-24 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2001/7/18(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 Note on Computationally Sound Proof in Group of Unknown Order |
| Sub Title (in English) | |
| Keyword(1) | Computationally sound proof |
| Keyword(2) | argument |
| Keyword(3) | zero-knowledge |
| 1st Author's Name | Damagard IVAN |
| 1st Author's Affiliation | Aarhus University() |
| 2nd Author's Name | Eiichiro FUJISAKI |
| 2nd Author's Affiliation | NTT Laboratories |
| Date | 2001/7/18 |
| Paper # | ISEC2001-24 |
| Volume (vol) | vol.101 |
| Number (no) | 214 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |