[Resource Topic] 2023/1530: Proofs of Space with Maximal Hardness

Welcome to the resource topic for 2023/1530

Title:
Proofs of Space with Maximal Hardness

Authors: Leonid Reyzin

Abstract:

In a proof of space, a prover performs a complex computation with a large output. A verifier periodically checks that the prover still holds the output. The security goal for a proof of space construction is to ensure that a prover who erases even a portion of the output has to redo a large portion of the computation in order to satisfy the verifier.

We present the first proof space that ensures that the prover has to redo almost the entire computation (fraction arbitrarily close to 1) when trying to save even an arbitrarily small constant fraction of the space.

Our construction is a generalization of an existing construction called SDR (Fisch, Eurocrypt 2019) deployed on the Filecoin blockchain. Our improvements, while general, also demonstrate that the already deployed construction has considerably better security than previously shown.

ePrint: https://eprint.iacr.org/2023/1530

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