Date Added: May 2012
Lossy encryption scheme is a novel chosen ciphertext-secure cryptosystem but few commitment schemes is proposed based on lossy encryption. An equivocable commitment scheme is proposed based on lossy encryption, and is proven to be selective de-commitment secure. Firstly, a non-interactive commitment scheme is constructed based on a lossy encryption scheme in the case of real key. Secondly, in the case of lossy key, a simulator is designed to show the existence of equivocable commitment using the property of underlying lossy encryption, the authors also show how to transform the non-interactive commitment scheme into a non-malleable commitment scheme after a minor modification.