Abstract: We show that a broad-band subliminal channel which requires the subliminal receiver hold no information about the signer`s private signing key and achieves the potential bandwidth, can be easily constructed in a recently proposed paringbased signature scheme.And the existence of this subliminal channel just disproves Simmon`s conjectures on the bandwidth of the subliminal channel in a digital signature. Cryptography, digital signature, subliminal channel.