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Ring signature is a group-oriented signature in which the signer can spontaneously form a group and generate a signature such that the verifier is convinced the signature was generated by one member of the group and yet does not know who actually signed. Linkable ring signature is a variant such that two signatures can be linked if and only if they were signed by the same person.

Recently, the first short linkable ring signature has been proposed. The short signature length makes it practical all of a sudden to use linkable ring signature as a building block in various cryptographic applications. However, we observed a subtle and yet imperative blemish glossed over by their security model definition which, if not carefully understood and properly handled, could lead to unanticipated security threats.

Inspired by the recent refinement of security definitions in conventional ring signatures, we …