“…Here, we compare our proposed scheme with those ASGMPM [8], AIK [27], PM [ [48], ZC [50], LW [51], and LM [52], with respect to communication overheads and shows t scheme needs very little communication overhead. Our results based on [57,58], in which |G2| ≌ |G| ≌ 1024bits for bilinear pairing, |P| ≌ 1024 bits for the discrete logarithm problem 160 bits for elliptic curve, |n| MPM [8], AIK [27], PM [47], HB [48], ZC [50], LW [51], and LM [52], ction, we use the values of Table 3 ad ead means that how many extra bits will be sent along with the actual mportant part of the data communication channels. If the scheme needs message at the time of sending, it means the channel required low re our proposed scheme with those ASGMPM [8], AIK [27], PM [47], HB LM [52], with respect to communication overheads and shows that our mmunication overhead.…”