Non-interactive generation of shared pseudorandom sequences
- Manuel CerecedoAffiliated withDivision of Electrical and Computer Engineering, Yokohama National University
- , Tsutomu MatsumotoAffiliated withDivision of Electrical and Computer Engineering, Yokohama National University
- , Hideki ImaiAffiliated withInstitute of Industrial Science, University of Tokyo
We address the following problem: given a random seed secretly shared among a group of individuals, non-interactively generate pieces corresponding to a much longer shared pseudorandom sequence. Shared randomness is an essential resource in distributed computing and non-interactive ways of generating it can be useful in applications such as Byzantine Agreement, common coin flipping or secure computation protocols.
Our first result is negative: well known cryptographically strong pseudorandom number generators cannot be evaluated without interaction and, in particular, it is shown that constructions that recursively apply a one-way function to a random seed and output at each iteration the simultaneously hard bits in the input of the one-way function are actually incompatible with a homomorphic evaluation.
On the other hand, we show that pseudorandom generators that can be both proven cryptographically strong and sharedly evaluated without interaction do exist. A concrete implementation, under the RSA assumption, is described.
- Non-interactive generation of shared pseudorandom sequences
- Book Title
- Advances in Cryptology — AUSCRYPT '92
- Book Subtitle
- Workshop on the Theory and Application of Cryptographic Techniques Gold Coast, Queensland, Australia, December 13–16, 1992 Proceedings
- pp 385-396
- Print ISBN
- Online ISBN
- Series Title
- Lecture Notes in Computer Science
- Series Volume
- Series ISSN
- Springer Berlin Heidelberg
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- Author Affiliations
- 1. Division of Electrical and Computer Engineering, Yokohama National University, 156 Tokiwadai, Hodogaya, 240, Yokohama, Japan
- 2. Institute of Industrial Science, University of Tokyo, 7-22-1 Roppongi, Minato-ku, 106, Tokyo, Japan
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