Efficiency Comparison. The results of the efficiency comparison between SGPAKE and PL-GAKA are illustrated in Table 3. Since this paper focuses on the cloud meeting and improves SGPAKE in the cloud meeting, we compare PL-GAKA with SGPAKE. For the Exponentiation evaluation, SGPAKE requires 4(2a ) because of two modular exponential computations for generating session keys. According to the properties of cloud meetings, the participant list can be determined before PL-GAKA starts, so the heavy work can be well prepared, and the computation cost can be finished from an offline computation. Table 3. The efficiency comparison between SGPAKE and PL-GAKA. Password Maintenance Yes No Exponentiation Yes No Key Calculation Modular Exponentiation Extented Choatic Map For the efficiency of the session key calculation process, PL-GAKA considers the extended chaotic map, which is a lightweight calculation compared with the modular exponential computation. Thus, PL-GAKA requires less computation time to generate a session key than that of SGPAKE. On the other hand, the meeting member does not require a password to verify the identity in PL-GAKA, so the password maintenance mechanism is not necessary in Pl-GAKA, but it is required in SGPAKE. Putting the above together, PL-GAKA is more efficient than SGPAKE in terms of key generation and the user maintenance.
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Sources: Authenticated Key Agreement Scheme, Authenticated Key Agreement Scheme