Desmedt, Y and Kurosawa, K (2007) A generalization and a variant of two threshold cryptosystems based on factoring. In: Garay, JA and Lenstra, AK and Mambo, M and Peralta, R, (eds.) Information Security, Proceedings. (pp. 351 - 361). SPRINGER-VERLAG BERLIN
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Abstract
At Asiacrypt 2002, Katz and Yung presented two threshold cryptosystems based on factoring, a threshold version of Goldwasser-Micali's probabilistic encryption assuming that p = q = 3 mod 4, and a threshold Rabin signature scheme assuming that p = 3 mod 8 and q = 7 mod 8. In this paper, we show a generalized condition on p and q to obtain a threshold version of Goldwasser- Micali, and a threshold Rabin-type signature scheme due to Kurosawa and Ogata [7] for p q= 3 mod 4 and[GRAPHICS]Note that our set of (p, q) is disjoint from that of Katz-Yung threshold Rabin signature scheme.
| Type: | Proceedings paper |
|---|---|
| Title: | A generalization and a variant of two threshold cryptosystems based on factoring |
| Event: | 10th International Conference on Information Security |
| Location: | Valparaiso, CHILE |
| Dates: | 2007-10-09 - 2007-10-12 |
| ISBN-13: | 978-3-540-75495-4 |
| Keywords: | threshold signatures, threshold decryption, Goldwasser-Micali, Rabin, cryptography, SECURE |
| UCL classification: | UCL > School of BEAMS > Faculty of Engineering Science > Computer Science |
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