Short and Stateless Signatures from the RSA Assumption

We present the first signature scheme which is “short”, stateless and secure under the RSA assumption in the standard model. Prior short, standard model signatures in the RSA setting required either a strong complexity assumption such as Strong RSA or (recently) that the signer maintain state. A signature in our scheme is comprised of one element in Z∗ N and one integer. The public key is also short, requiring only the modulus N, one element of Z∗ N , one integer, one PRF seed and some short chameleon hash parameters. To design our signature, we employ the known generic construction of fully-secure signatures from weakly-secure signatures and a chameleon hash. We then introduce a new proof technique for reasoning about weakly-secure signatures. This technique enables the simulator to predict a prefix of the message on which the adversary will forge and to use knowledge of this prefix to embed the challenge. This technique has wider applications beyond RSA. We also use it to...

• Type: Conference
• Year: 2009
• Where: CRYPTO
• Authors: Susan Hohenberger, Brent Waters
• Keywords: CRYPTO 2009, Cryptology, Signatures, Standard Model, Standard Model Signatures