Abstract
We propose the first constant size non-interactive range proof which is not based on the heuristic Fiat-Shamir transformation and whose security does not rely on the random oracle assumption. The proof consists of a constant number of group elements. Compared with the most efficient constant-size range proof available in the literature, our scheme has significantly reduced the proof size. We showed that our scheme achieves perfect completeness, perfect soundness and composable zero-knowledge under a conventional number-theoretic assumption, namely the Subgroup Decision Problem.
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Yuen, T.H., Huang, Q., Mu, Y., Susilo, W., Wong, D.S., Yang, G. (2009). Efficient Non-interactive Range Proof. In: Ngo, H.Q. (eds) Computing and Combinatorics. COCOON 2009. Lecture Notes in Computer Science, vol 5609. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02882-3_15
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DOI: https://doi.org/10.1007/978-3-642-02882-3_15
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