We present a three-party simultaneous quantum secure direct communication
(QSDC) scheme by using Greenberger-Horne-Zeilinger (GHZ) states. This scheme
can be directly generalized to N-party QSDC by using n-particle GHZ states.
We show that the many-party simultaneous QSDC scheme is secure not only against
the intercept-and-resend attack but also against the disturbance attack.Comment: To appear in Phys. Lett.