[Resource Topic] 2018/893: Blockchain as cryptanalytic tool

Welcome to the resource topic for 2018/893

Title:
Blockchain as cryptanalytic tool

Authors: Manfred Lochter

Abstract:

One approach for blockchain based applications to provide a proof-of-work is the computation of hash-values. In our opinion these computations are a waste of energy. It would be highly desirable to find an alternative method that generates useful output. We show how to substitute hashing by performing multiplications on Elliptic Curves in order to find distinguished points that can then be used to solve the discrete logarithm problem on a chosen curve. Today’s digital infrastructures rely on only a few curves. We argue that the advent of blockchain based technologies makes the use of only few standardised curves questionable. In principle all cryptanalytic algorithms that use Rabin’s idea of distinguished points can be used in blockchain based attacks. Similar ideas can be used for the number field sieve.

ePrint: https://eprint.iacr.org/2018/893

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