AbstractBlind signature is a crucial technique to provide anonymity in many information systems such as e‐cash, e‐voting, and smart grid systems. Partially blind signature is a more applicable extension where the part of the message includes some common information known by the signer and the signature requestor. In the family of lattice‐based schemes, blind signatures are given in ASIACRYPT 2010 by R ckert in the random oracle model, and until now, no partially blind signatures are given. We here design the first scheme based on Lyubashevsky's signature scheme in EUROCRYPT 2012 and Abe and Okamoto's construction of partially blind signature in CRYPTO 2000 in the random oracle model. The scheme shows an alternative approach to achieve the blindness property without the supports of a commitment scheme and of a final round communication to confirm the validity of a signature. Copyright © 2016 John Wiley & Sons, Ltd.