Paper 2022/775

Asynchronous Verifiable Information Dispersal with Near-Optimal Communication

Nicolas Alhaddad, Boston University
Sourav Das, University of Illinois Urbana-Champaign
Sisi Duan, Tsinghua University
Ling Ren, University of Illinois Urbana-Champaign
Mayank Varia, Boston University
Zhuolun Xiang, University of Illinois Urbana-Champaign
Haibin Zhang, Beijing Institute of Technology
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.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Published elsewhere. ACM PODC 2022
Keywords
Asynchronous Networks Verifiable Information Dispersal Communication Complexity Lower Bounds
Contact author(s)
nhaddad @ bu edu
souravd2 @ illinois edu
duansisi @ tsinghua edu cn
renling @ illinois edu
varia @ bu edu
xiangzl @ illinois edu
haibin @ bit edu cn
History
2022-06-16: approved
2022-06-15: received
See all versions
Short URL
https://ia.cr/2022/775
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/775,
      author = {Nicolas Alhaddad and Sourav Das and Sisi Duan and Ling Ren and Mayank Varia and Zhuolun Xiang and Haibin Zhang},
      title = {Asynchronous Verifiable Information Dispersal with Near-Optimal Communication},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/775},
      year = {2022},
      url = {https://eprint.iacr.org/2022/775}
}
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