A Small Subgroup Attack on Bitcoin Address Generation

A Small Subgroup Attack on Bitcoin Address Generation

Sala, Massimiliano;Sogiorno, Domenica;Taufer, Daniele;
Mathematics 2020 Vol. 8 pp. 1645-
18
sala2020amathematics

Abstract

We show how a small subgroup confinement-like attack may be mounted on the Bitcoin addresses generation protocol, by inspecting a special subgroup of the group associated to point multiplication. This approach does not undermine the system security but highlights the importance of using fair random sources during the private key selection.

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ID: 127906
Ref Key: sala2020amathematics
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