Rogue-key attacks on the multi-designated verifiers signature scheme

In 1996, Jakobsson, Sako, and Impagliazzo and, on the other hand, Chaum introduced the notion of designated verifier signatures to solve some of the intrinsic problems of undeniable signatures. The generalization of this concept was formally investigated by Laguillaumie and Vergnaud as multi-designated verifiers signatures. Recently, Laguillaumie and Vergnaud proposed the first multi-designated verifiers signature scheme which protects the anonymity of signers without encryption. In this paper, we show that their scheme is insecure against rogue-key attacks.