[Resource Topic] 2022/354: Optimal Synchronous Approximate Agreement with Asynchronous Fallback

Welcome to the resource topic for 2022/354

Title:
Optimal Synchronous Approximate Agreement with Asynchronous Fallback

Authors: Diana Ghinea, Chen-Da Liu-Zhang, Roger Wattenhofer

Abstract:

Approximate Agreement (AA) allows a set of n parties that start with real-valued inputs to obtain values that are at most within a parameter \epsilon > 0 from each other and within the range of their inputs. Existing AA protocols, both for the synchronous network model (where any message is delivered within a known delay \Delta time) and the asynchronous network model, are secure when up to t < n/3 of the parties are corrupted and require no initial setup (such as a public-key infrastructure (PKI) for signatures). We consider AA protocols where a PKI is available, and show the first AA protocol that achieves simultaneously security against t_s corruptions when the network is synchronous and t_a corruptions when the network is asynchronous, for any 0\le t_a < n/3 \le t_s < n/2 such that t_a + 2 \cdot t_s < n. We further show that our protocol is optimal by proving that achieving AA for t_a + 2 \cdot t_s \ge n is impossible (even with setup). Remarkably, this is also the first AA protocol that tolerates more than n/3 corruptions in the synchronous network model.

ePrint: https://eprint.iacr.org/2022/354

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