Adaptor signature is becoming an increasingly important tool in solving the scalability and interoperability issues of blockchain applications. It has many useful properties. Firstly, it can reduce on-chain cost when it is used in off-chain authenticated communication. Secondly, it can increase the fungibility of transactions using it as the signature. Thirdly, it can help circumvent the limitation of the blockchain’s scripting language.

In this paper, we propose the first generic construction of adaptor signatures which is compatible with different signature schemes. It can be used as a general framework to combine with different privacy-preserving cryptosystems. Finally, we propose blind adaptor signature and linkable ring adaptor signature. We believe they are of independent interests.

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