An Anti-Quantum Transaction Authentication Approach in Blockchain

Blockchain is a new distributed and decentralized technology, and gradually attracts worldwide attention, but it is vulnerable to quantum attacks that would solve elliptic curve digital logarithm problem, which is mainly used for transaction authentication in blockchain. The key needed for authentication comes from the wallet. To ensure that the size of the wallet is fixed and easy to manage, deterministic wallets are required to be used. But if existing anti-quantum signature schemes, such as lattice-based signature are used directly in blockchain to solve the problem, it would have made the wallet bloat. In this paper, we present a novel anti-quantum transaction authentication scheme in the blockchain. In order to construct lightweight nondeterministic wallets, the key point is that public and private keys are generated from a set of master public and private key(Seed Key). We leverage on Bonsai Trees technology and propose a new authentication method which can extend a lattice space to multiple lattice spaces accompanied by the corresponding key. Every signature of a transaction uses a lattice space so as to ensure the randomness and the security of the master private key. And we give the complete security proof and analysis. This paper provides the theoretical support for the application of blockchain in the post quantum age.