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Table 1 Comparisons between our protocol and the recently proposed protocols

From: Two-round contributory group key exchange protocol for wireless network environments

 

Nam et al.'s protocol[20]

Chuang-Tseng protocol[22]

Our protocol

Number of rounds

2

3

2

Contributiveness property

No

Yes

Yes

Computational cost of each client

2Texp + Tmul + T H

2Texp + 3T H

2Texp+2T H

Uni-casting message size sent by each participant

|p|

|p| + |q|

|p|

Computational cost of the powerful node

(n+2)Texp + nTinv + 2nTmul + T H

(n + 1)Texp + (2n + 1)T H

(n + 1)Texp + (n + 1)T H

Broadcasting message size sent by the group controller

(n + 1)|p|

n(|p| + |q|)

(n + 1)|p|

Providing the member dynamic functionality

No

Yes

Yes

Computational cost for joining (each client)

×

3T H

2T H

Computational cost for leaving (each client)

×

3T H

2T H

Computational cost for joining (powerful server)

×

Texp + (2n + 1)T H

Texp + (n + 2)T H

Computational cost for leaving (powerful server)

×

Texp + (2n + 1)T H

(n + 1)T H