@inproceedings{belenkiy2009compact, author = {Belenkiy, Mira and Chase, Melissa and Kohlweiss, Markulf and Lysyanskaya, Anna}, title = {Compact E-Cash and Simulatable VRFs Revisited}, booktitle = {Pairing 2009}, year = {2009}, month = {August}, abstract = {Efficient non-interactive zero-knowledge proofs are a powerful tool for solving many cryptographic problems. We apply the recent Groth-Sahai (GS) proof system for pairing product equations (Eurocrypt 2008) to two related cryptographic problems: compact e-cash (Eurocrypt 2005) and simulatable verifiable random functions (CRYPTO 2007). We present the first efficient compact e-cash scheme that does not rely on a random oracle. To this end we construct efficient GS proofs for signature possession, pseudo randomness and set membership. The GS proofs for pseudorandom functions give rise to a much cleaner and substantially faster construction of simulatable verifiable random functions (sVRF) under a weaker number theoretic assumption. We obtain the first efficient fully simulatable sVRF with a polynomial sized output domain (in the security parameter).}, publisher = {Springer Verlag}, url = {http://approjects.co.za/?big=en-us/research/publication/compact-e-cash-and-simulatable-vrfs-revisited/}, edition = {Pairing 2009}, }