IACR News item: 30 July 2014
Vipul Goyal, Silas Richelson, Alon Rosen, Margarita Vald
ePrint ReportIn this paper we propose a new technique that allows us to to construct a non-malleable protocol with only a single ``slot\", and to improve in at least one aspect over each of the previously proposed protocols. Two direct byproducts of our new ideas are a four round non-malleable commitment and a four round non-malleable zero-knowledge argument, the latter matching the round complexity of the best known zero-knowledge argument (without the non-malleability requirement). The protocols are based on the existence of one-way permutations (or alternatively one-way functions with an extra round) and admit very efficient instantiations via standard homomorphic commitments and sigma protocols.
Our analysis relies on algebraic reasoning, and makes use of error correcting codes in order to ensure that committers\' tags differ in many coordinates. One way of viewing our construction is as a method for combining many atomic sub-protocols in a way that simultaneously amplifies soundness and non-malleability, thus requiring much weaker guarantees to begin with, and resulting in a protocol which is much trimmer in complexity compared to the existing ones.
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