Common use of B-GKAP1 Key Computation Clause in Contracts

B-GKAP1 Key Computation. During key computation in B-GKAP1, several vari- able transmissions between participants and the network occur. While in protocol function generateAndSendPublicKey(·), variable transmission occurs two times for each participant, and for queryPublicKey(·), generateAndSendSecretKey(·), querySecretKeys(·) functions, variable transmission occurs for each participant Ui ∈ Uparticipant. Table 5.2. Communication cost of B-GKAP1 key computation for each participant. Function Ct generateAndSendPublicKey(·) |4q + 2p| queryPublicKey(·) |2q + p| generateAndSendSecretKey(·) |3q + p| querySecretKeys(·) |(N + 1)q + p| According to Table 5.2, communication cost for each participant is |(N + 10)q + 5p| and the total communication complexity is: Ct = O(N)|(N + 10)q + 5p|.

B-GKAP1 Key Computation. During key computation in B-GKAP1, several vari- able transmissions between participants and the network occur. While in protocol function generateAndSendPublicKey(·), variable transmission occurs two times for each participant, and for queryPublicKey(·), generateAndSendSecretKey(·), querySecretKeys(·) functions, variable transmission occurs for each participant Ui ∈ 2 Uparticipant. Table 5.2. Communication cost of B-GKAP1 key computation for each participant. Function Ct generateAndSendPublicKey(·) |4q + 2p| queryPublicKey(·) |2q + p| generateAndSendSecretKey(·) |3q + p| querySecretKeys(·) |(N + 1)q + p| According to Table 5.2, communication cost for each participant is |(N + 10)q + 5p| and the total communication complexity is: Ct = O(N)|(N + 10)q + 5p|.