Cryptology ePrint Archive: Report 2002/131

An Improved Pseudorandom Generator Based on Hardness of Factoring

Nenad Dedic and Leonid Reyzin and Salil Vadhan

Abstract: We present a simple to implement and efficient pseudorandom generator based on the factoring assumption. It outputs more than pn/2 pseudorandom bits per p exponentiations, each with the same base and an exponent shorter than n/2 bits. Our generator is based on results by Hastad, Schrift and Shamir [HSS93], but unlike their generator and its improvement by Goldreich and Rosen [GR00], it does not use hashing or extractors, and is thus simpler and somewhat more efficient.

In addition, we present a general technique that can be used to speed up pseudorandom generators based on iterating one-way permutations. We construct our generator by applying this technique to results of [HSS93]. We also show how the generator given by Gennaro [Gen00] can be simply derived from results of Patel and Sundaram [PS98] using our technique.

Category / Keywords: foundations / pseudorandomness, pseudorandom generator, hardcore bits

Publication Info: Third Conference on Seciruty in Communication Networks (SCN '02)

Date: received 27 Aug 2002, last revised 28 Aug 2002

Contact author: reyzin at bu edu

Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation

Version: 20020828:202215 (All versions of this report)

Short URL: ia.cr/2002/131