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CRYPTO
2007
Springer

Simulatable VRFs with Applications to Multi-theorem NIZK

12 years 8 months ago
Simulatable VRFs with Applications to Multi-theorem NIZK
Abstract. This paper introduces simulatable verifiable random functions (sVRF). VRFs are similar to pseudorandom functions, except that they are also verifiable: corresponding to each seed SK, there is a public key PK, and for y = FPK (x), it is possible to prove that y is indeed the value of the function seeded by SK. A simulatable VRF is a VRF for which this proof can be simulated, so a simulator can pretend that the value of FPK (x) is any y. Our contributions are as follows. We introduce the notion of sVRF. We give two constructions: one from general assumptions (based on NIZK), but inefficient, just as a proof of concept; the other construction is practical and based on a special assumption about composite-order groups with bilinear maps. We then use an sVRF to get a direct transformation from a single-theorem non-interactive zero-knowledge proof system for a language L to a multi-theorem non-interactive proof system for the same language L.
Melissa Chase, Anna Lysyanskaya
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where CRYPTO
Authors Melissa Chase, Anna Lysyanskaya
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