“…According to the methodology given in [49], [50], we compute the average execution time (in ms) of these operations, summarized in Table 1. In Table 2, we compare the signing and verifying cost of our proposed IBS-secPKG scheme with related schemes such as Karati et al [29], Chen et al [32], Chen et al [33], Sahana et al [36], Shim et al [39], Tseng et al [38], Yang et al [40], Hussain et al [42] and Du et al [43] schemes. For signing a message, the proposed scheme takes 3𝑇 𝑆𝑀 + 1𝑇 𝐴 = 20.04 ms, whiles Karati et al [29], Chen et al [32], Chen et al [33], Sahana et al [36], Shim et al [39], Tseng et al [38], Yang et al [40], Hussain et al [42] and Du et al [43] schemes take 18.17 ms, 33.4 ms, 26.7 ms, 13.4 ms, 31.6 ms, 47.15 ms, 23 ms, 7 ms and 7 ms respectively.…”