Communication Efficient Perfectly Secure VSS and MPC in Asynchronous Networks with Optimal Resilience.
Arpita Patra, Ashish Choudhary, Chitra Rangan
Abstract. Verifiable Secret Sharing (VSS) is a fundamental primitive used in many distributed cryptographic tasks, such as Multiparty Computation (MPC) and Byzantine Agreement (BA). It is a two phase (sharing, reconstruction) protocol. The VSS and MPC protocols are carried out among n parties, where t out of n parties can be under the influence of a Byzantine (active) adversary, having unbounded computing power. It is well known that protocols for perfectly secure VSS and perfectly secure MPC exist in an asynchronous network iff n ≥ 4t+1. Hence, we call any perfectly secure VSS (MPC) protocol designed over an asynchronous network with n = 4t + 1 as optimally resilient VSS (MPC) protocol. A secret is d-shared among the parties if there exists a random degreed polynomial whose constant term is the secret and each honest party possesses a distinct point on the degree-d polynomial. Typically VSS is used as a primary tool to generate t-sharing of secret(s). In this paper, we present an optimally resilient, perfectly secure Asynchronous VSS (AVSS)
•Jan 1, 2010•0 citations