Optimal Resiliency against Mobile Faults ( Extended

نویسندگان

  • Harry Buhrman
  • Juan A. Garay
  • Jaap-Henk Hoepman
چکیده

In this paper we consider a model where malicious agents can corrupt hosts and move around in a network of processors. We consider a family of mobile-fault models MF(t n?1 ;). In MF(t n?1 ;) there are a total of n processors, the maximum number of mobile faults is t, and their roaming pace is (for example, = 3 means that it takes an agent at least 3 rounds to \hop" to the next host). We study in these models the classical testbed problem for fault-tolerant distributed computing: Byzantine agreement. It has been shown that if = 1, then agreement cannot be reached in the presence of even one fault, unless one of the processors remains uncorrupted for a certain amount of time. Subject to this proviso, we present a protocol for MF(1 3 ; 1), which is optimal. The running time of the protocol is O(n) rounds, also optimal for these models.

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تاریخ انتشار 2007