Welcome to the resource topic for 2021/1265
Title:
Special Soundness in the Random Oracle Model
Authors: Douglas Wikström
Abstract:We generalize the knowledge extractor for constant-round special sound protocols presented by Wikström (2018) to a knowledge extractor for the corresponding non-interactive Fiat-Shamir proofs in the random oracle model and give an exact analysis of the extraction error and running time. Relative the interactive case the extraction error is increased by a factor \ell and the running time is increased by a factor O(\ell), where \ell is the number of oracle queries made by the prover. Through carefully chosen notation and concepts, and a technical lemma, we effectively recast the extraction problem of the notoriously complex non-interactive case to the interactive case. Thus, our approach may be of independent interest.
ePrint: https://eprint.iacr.org/2021/1265
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