Paper 2025/2176

On the (Un)biasability of Existing Verifiable Random Functions

Abstract

Verifiable Random Functions (VRFs) play a fundamental role in modern blockchain designs because of their applications in leader election protocols. In such contexts, however, the original definition by Micali, Rabin and Vadhan (FOCS 99), falls short at guaranteeing fairness when keys are sampled maliciously. The elegant notion of unbiasable VRF, recently proposed by Giunta and Stewart (Eurocrypt 24), addresses these concerns while remaining simple to state and easy to realize, at least in the random oracle model. Achieving unbiasability in the standard model is a different story, though: all known constructions rely on compilers that invariably reduce the efficiency of the VRF from which one starts. In this paper, we look at the unbiasability of existing VRFs in the standard model. Our findings are mostly negative; we show that, essentially, all known constructions are not natively unbiasable. We do so by showing classes of attacks that (almost) completely cover the set of existing VRF constructions. On the positive side, we show that some concrete schemes (and notably the well-known Dodis-Yampolskiy VRF) can be modified to achieve meaningful notions of unbiasability, while retaining their original efficiency.