A New Multisignature Scheme with Public Key Aggregation for Blockchain A multi signature scheme allows a group of signers to produce a joint signature on a common message, which is more compact than a collection of distinct signatures from all signers. Given this signature and the list of signersu0027 public keys, a verifier is able to check if every signer in the group participated in signing. Recently, a multisignature scheme with public key aggregation has drawn a lot of attention due to their applications into the blockchain technology. Such multisignatures provide not only a compact signature, but also a compact aggregated public key, that is both the signature size and the public key size used to verify the correctness of the signature are independent from the number of signers. This is useful for a blockchain because of its duplication over a distributed network, and thus it is required to be as compact as possible. In this paper, we introduce a new multisignature scheme with such a feature. Our scheme is proven secure under the Decisional DiffieHellman assumption. In addition, in the presence of rogue key attacks, the security of our scheme is proven in the plain public key model.

Aggregate Signature Consensus Scheme Based on FPGA With the rapid development of cryptocurrency, such as the Bitcoin, block chain technology, as the bottom technology of Bitcoin, has been widely concerned by researchers. Block chain has the characteristics of decentralization, anonymity and nontampering, which realizes the transformation from social trust to machine trust. As an important part of block chain system, digital signature is relatively inefficient. For this reason, this paper proposes an aggregation signature scheme based on FPGA, which combines the aggregation signature technology with the reconfiguration of FPGA, realizes the aggregation of multiple user signatures into one signature, and has multiple ECC acceleration modules in FPGA. The efficiency of digital signature calculation is improved. Through experimental analysis and comparison, the scheme uses FPGA reconstruction and aggregate signature technology, which not only improves the computational efficiency of ECC, but also improves the efficiency of signature verification and improves the performance of block chain system.