Aborting Random Oracles: How to Build them, How to Use them

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In this work, we initiate the study of aborting hash functions, i.e., hash functions that may abort on a non-negligible fraction of inputs. We introduce the aborting random oracle model (aROM), an idealized framework that extends the standard random oracle model (ROM) to account for aborts. Within this model, we derive bounds for various security notions and establish generic indifferentiability results demonstrating how to construct aborting random oracles from standard ones. Consequently, the