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Brief Announcement: Asynchronous Verifiable Information Dispersal with Near-Optimal Communication

Nicolas Alhaddad, Sourav Das, Sisi Duan, Ling Ren, Mayank Varia, Zhuolun Xiang, Bin Zhang

202212 citationsDOIOpen Access PDF

Abstract

We present a near-optimal asynchronous verifiable information dispersal (AVID) protocol. The total dispersal cost of our AVID protocol is O(|M| + κ n^2), and the retrieval cost per client is O(|M| + κ 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|+κ n) in comparison to O(|M|+κ n łog n) of prior best. Moreover, each node in our AVID protocol incurs a storage cost of O(|M|/n + κ) bits, in comparison to O(|M|/n + κ łog 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(κ) gap from the lower bounds.

Topics & Concepts

Asynchronous communicationProtocol (science)Verifiable secret sharingComputer scienceHash functionNode (physics)Communication complexityBinary logarithmUpper and lower boundsComputer networkTheoretical computer scienceDiscrete mathematicsMathematicsComputer securityPhysicsMedicineQuantum mechanicsPathologyProgramming languageAlternative medicineMathematical analysisSet (abstract data type)Cryptography and Data SecurityAdvanced Data Storage TechnologiesDistributed systems and fault tolerance