Blind Two Party ECDSA Signing Based Homomorphic Encryption over Message Passing

Due to extensive deployment in cryptocurrencies, two party ECDSA signature have obtained much attention. We could divide the signature generation procedure over message into two stages, mainly, to maintain anonymity via reducing the decryption step and securing the message passing transmission channel. Preserving the two stages simultaneously is arduous. However, the existing literature fails to achieve the two stages simultaneously: either the proof of anonymity is not explained well, or message passing leaks some information. This work proposes a blind two party ECDSA signing based homomorphic encryption over message passing. In this work, the first stage is maintained by blind signature, and the second is achieved by a homomorphic encryption with respect to an analytical operation. Our proposed work maintains the aforementioned two stages simultaneously.