Cryptology ePrint Archive: Report 2005/356

Exponential Memory-Bound Functions for Proof of Work Protocols

Fabien Coelho

Abstract: In Year 2005, Internet users were twice more likely to receive unsolicited electronic messages, known as spams, than regular emails. Proof of work protocols are designed to deter such phenomena and other denial-of-service attacks by requiring computed stamps based on hard-to-solve problems with easy-to-verify solutions. As cpu-intensive computations are badly hit over time by Moore's law, memory-bound computations have been suggested to deal with heterogeneous hardware. We introduce new practical, optimal, proven and possibly memory-bound functions suitable to these protocols, in which the client-side work to compute the response is intrinsically exponential with respect to the server-side work needed to set or check the challenge. One-way non-interactive solution-verification variants are also presented. Although simple implementations of such functions are bound by memory latency, optimized versions are shown to be bound by memory bandwidth instead.

Category / Keywords: cryptographic protocols / electronic commerce and payment

Publication Info: Submitted to a conference. TR Ecole des mines de Paris A/370/CRI.

Date: received 3 Oct 2005, last revised 7 Nov 2006

Contact author: fabien coelho at ensmp fr

Available format(s): PDF | BibTeX Citation

Note: Overall presentation simplified by focussing on one variant. Proof of the scheme added, including an optimality claim, replacing a lot of hand-waving.

Version: 20061107:100848 (All versions of this report)

Short URL: ia.cr/2005/356