Paper 2022/775 Original: eprint.iacr.org/2022/775 ↗

Asynchronous Verifiable Information Dispersal with Near-Optimal Communication

Abstract

We present a near-optimal asynchronous verifiable information dispersal (AVID) protocol. The total dispersal cost of our AVID protocol is $O(|M|+\kappa n^2)$, and the retrieval cost per client is $O(|M|+\kappa n)$. Unlike prior works, our AVID protocol only assumes the existence of collision-resistant hash functions. Also, in our AVID protocol, the dispersing client incurs a communication cost of $O(|M|+\kappa n)$ in comparison to $O(|M|+\kappa n\log n)$ of prior best. Moreover, each node in our AVID protocol incurs a storage cost of $O(|M|/n+\kappa)$ bits, in comparison to $O(|M|/n+\kappa \log n)$ bits of prior best. Finally, we present lower bound results on communication cost and show that our AVID protocol has near-optimal communication costs -- only a factor of $O(\kappa)$ gap from the lower bounds.