1: Given N nodes in the group G 1 ⋯ G N .
2: G1 ciphers the message m using its private group key, signs it with its private key, and broadcasts it to the network.
3: G 1 ⇒ P K G 1 [ M + P K G 1 ( m ) ]
4: G 2 ⋯ G N receive, decipher and verify the message using their group keys.
5: G 2 ⋯ G N ⇒ M = P K G i [ m ]