Fenwick & West LLP
Accumulating automata and cascaded equations automata for non-interactive and perennial secure multi-party computation
A method of securely executing practically unbounded input stream of symbols, by non-interactive, multi-party computation, according to which the input stream is distributed among a plurality of parties, which do not communicate among themselves throughout execution, by a dealer with a secret initial state. The dealer distributes shares of the secret state between the parties. The input stream is executed by a finite-state automaton which may be an accumulating automaton with accumulating nodes or an automaton that is defined by a series of cascaded equations. During any execution stage, the input stream and the current state of the original automaton are concealed from any coalition of participants being smaller than a given threshold. Upon receiving a signal from the dealer, the parties terminate the execution and submit their internal state to the dealer, which computes the current state that defines the computation result.
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Ximing Shlomo Niv
Li Dolev Gilboa