Abstract
We propose a methodology to construct verifiable random functions from a class of identity based key encapsulation mechanisms (IB-KEM) that we call VRF suitable. Informally, an IB-KEM is VRF suitable if it provides what we call unique decryption (i.e. given a ciphertext C produced with respect to an identity \({\it{ID}}\), all the secret keys corresponding to identity \({\it{ID}}'\), decrypt to the same value, even if \({\it{ID}}\neq {\it{ID}}'\)) and it satisfies an additional property that we call pseudorandom decapsulation. In a nutshell, pseudorandom decapsulation means that if one decrypts a ciphertext C, produced with respect to an identity \({\it{ID}}\), using the decryption key corresponding to any other identity \({\it{ID}}'\) the resulting value looks random to a polynomially bounded observer. Interestingly, we show that most known IB-KEMs already achieve pseudorandom decapsulation. Our construction is of interest both from a theoretical and a practical perspective. Indeed, apart from establishing a connection between two seemingly unrelated primitives, our methodology is direct in the sense that, in contrast to most previous constructions, it avoids the inefficient Goldreich-Levin hardcore bit transformation.
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The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-3-642-01001-9_35
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Abdalla, M., Catalano, D., Fiore, D. (2009). Verifiable Random Functions from Identity-Based Key Encapsulation. In: Joux, A. (eds) Advances in Cryptology - EUROCRYPT 2009. EUROCRYPT 2009. Lecture Notes in Computer Science, vol 5479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01001-9_32
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