Two Party RSA Key Generation (Extended Abstract)

We present a protocol for two parties to generate an RSA key in a distributed manner. At the end of the protocol the public key: a modulus N = PQ, and an encryption exponent e are known to both par- ties. Individually, neither party obtains information about the decryption key d and the prime factors of N: P and Q. However, d is shared among the parties so that threshold decryption is possible.

[1]  de Ng Dick Bruijn On the number of uncancelled elements in the sieve of Eratosthenes , 1950 .

[2]  Avi Wigderson,et al.  Completeness theorems for non-cryptographic fault-tolerant distributed computation , 1988, STOC '88.

[3]  Rafail Ostrovsky,et al.  Replication is not needed: single database, computationally-private information retrieval , 1997, Proceedings 38th Annual Symposium on Foundations of Computer Science.

[4]  Andrew Chi-Chih Yao,et al.  How to generate and exchange secrets , 1986, 27th Annual Symposium on Foundations of Computer Science (sfcs 1986).

[5]  Yuval Ishai,et al.  Protecting data privacy in private information retrieval schemes , 1998, STOC '98.

[6]  Silvio Micali,et al.  How to play ANY mental game , 1987, STOC.

[7]  Moti Yung,et al.  Robust efficient distributed RSA-key generation , 1998, STOC '98.

[8]  Moni Naor,et al.  Oblivious transfer and polynomial evaluation , 1999, STOC '99.

[9]  Eyal Kushilevitz,et al.  Private information retrieval , 1995, Proceedings of IEEE 36th Annual Foundations of Computer Science.

[10]  Clifford C. Cocks Split Knowledge Generation of RSA Parameters , 1997, IMACC.

[11]  Silvio Micali,et al.  Computationally Private Information Retrieval with Polylogarithmic Communication , 1999, EUROCRYPT.

[12]  János Komlós,et al.  Storing a sparse table with O(1) worst case access time , 1982, 23rd Annual Symposium on Foundations of Computer Science (sfcs 1982).

[13]  Julien P. Stern A new and efficient all-or-nothing disclosure of secrets protocol , 1998 .

[14]  Jacques Stern,et al.  Generation of Shared RSA Keys by Two Parties , 1998, ASIACRYPT.