Cryptology ePrint Archive: Report 2018/939

The Proof is in the Pudding: Proofs of Work for Solving Discrete Logarithms

Marcella Hastings and Nadia Heninger and Eric Wustrow

Abstract: We propose a proof of work protocol that computes the discrete logarithm of an element in a cyclic group. Individual provers generating proofs of work perform a distributed version of the Pollard rho algorithm. Such a protocol could capture the computational power expended to construct proof-of-work-based blockchains for a more useful purpose, as well as incentivize advances in hardware, software, or algorithms for an important cryptographic problem. We describe our proposed construction and elaborate on challenges and potential trade-offs that arise in designing a practical proof of work.

Category / Keywords: applications / Proofs of work, discrete logarithm problem, Pollard rho, cryptanalysis, distributed cryptography

Original Publication (in the same form): Financial Cryptography and Data Security 2019

Date: received 2 Oct 2018, last revised 10 Jan 2019

Contact author: mhast at cis upenn edu

Available format(s): PDF | BibTeX Citation

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Version: 20190110:194649 (All versions of this report)

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