Table 3: Protocol for authenticated secure group communication.

(1) 𝑢 𝑖 KDC: 𝐸 𝐾 𝑖 [ I D 𝑖 𝑃 𝑗 𝑇 ]
(2)KDC 𝑢 𝑖 : 𝐸 𝐾 𝑖 [ 𝑟 𝑃 𝑗 𝑇 ]
(3)KDC { M e m b e r s o f 𝑃 𝑗 } : 𝐸 𝐺 𝑗 [ 𝐻 ( 𝑟 ) I D 𝑖 𝑃 𝑗 𝑇 ]
(4) 𝑢 𝑖 { M e m b e r s o f 𝑃 𝑗 } : 𝐸 𝐺 𝑗 [ 𝑟 I D 𝑖 𝑃 𝑗 𝑇 𝑚 ]