LFSR-based signatures with message recovery

In order to reduce key sizes and bandwidth, several LFSR-based (linear feedback shift register) public key cryptosystems and signature schemes have been proposed. Digital signatures with message recovery are useful for many applications in which small messages (e.g., 100 bits or so) should be signed. This paper first presents a new sequence operation, called DSO, based on existing sequence operations, and then proposes a LFSR-based signature scheme with message recovery and a LFSR-based signature scheme with partial message recovery. We support the proposed schemes with security analysis. Our schemes take the advantage that they require less computation complexity, less representation and less bandwidth than those required in their counterparts based on finite fields of Z_q.