Abstract. We firstly proposed a new notion of short identity-based signature scheme. We argue that the identity-based environment is essential in some scenarios. The notion of short identity-based signature schemes can be viewed as identity-based (partial) message recovery signatures. Signature schemes with message recovery has been extensively studied in the literature. This problem is somewhat related to the problem of signing short messages using a scheme that minimizes the total length of the original message and the appended signature. In this paper, firstly, we revisit this notion and propose an identity-based message recovery signature scheme. Our scheme can be regarded as the identity based version of Abe-Okamoto’s scheme [1]. Then, we extend our scheme to achieve an identity-based partial message recovery signature scheme. In this scheme, the signature is appended to a truncated message and the discarded bytes are recovered by the verification algorithm. This is to answer...