Blockchain is a transformational technology which affects finance, Internet, and politics. However, many privacy protection problems for blockchain are waiting to be solved. In this study, we propose a novel linkable ring signature scheme with stealth addresses, which enables the payer and payee of the transaction to be anonymous and unlinkable in the cryptocurrency. The scheme is combined with an elliptic curve discrete logarithm (ECD logarithm)-based key encapsulation mechanism (KEM) stage and a lattice-based signature stage. The master public key and master secret key are much smaller compared with the previous scheme. Complete secure proof of the scheme is also presented in this study.