Zhao Yunlei of Fudan University: Gamma-signature inherits the advantages of EC-Schnorr and EC-DSA signatures, avoiding its shortcomings

Babbitt reported that the "2019 China Blockchain Technology and Application Summit Forum" hosted by the Chinese Computer Society (CCF) was held in Nanjing from June 1st to 2nd. On the morning of June 2nd, the "blockchain theory and technology innovation" sub-forum, Fudan University professor Zhao Yunlei said that the aggregate signature can aggregate multiple signatures in a non-interactive manner, which improves the throughput rate of the blockchain. It is important to save storage space and improve transaction verification efficiency. Known polymeric signatures are all based on bilinear pairing, and polymeric signatures based on general elliptic curves are long-standing unresolved open issues. We propose a new method for converting honest verifier zero knowledge into digital signatures, called Gamma-transformation. Based on Gamma-transformation, we have a new signature scheme that avoids the advantages of both EC-Schnorr signature and EC-DSA signature, and is called Gamma-Signature. We further demonstrate that Gamma-signature supports aggregation operations, which is the only known polymerizable digital signature scheme based on general elliptic curves. In the process, we also use specific attacks to show that other general elliptic curve digital signature schemes currently exist cannot support signature aggregation.