Secure and Efficient Authenticated Key Agreement Protocol Sample Clauses

Secure and Efficient Authenticated Key Agreement Protocol. { } → { } → { } 1. Initially A selects a random rA ∈R [1,n − 1] and computes (1) In the similar manner, B selects a random rB ∈R [1,n − 1] and computes (2) Then, A, in the role of the initiator, initiates the key agreement process by sending TA to B. 2. Upon receiving A’s message, B computes accordingly K = hrBsBTA = hrArBsAsBP, (3) eB = H1(XXX,IDB, xTA , xTB , xK), (4) zB = rB + eBsB mod q, (5) where xTA denotes the x-coordinate of TA, xTB denotes the x-coordinate of TB, xK denotes the x-coordinate of K and h denotes the cofactor. Finally, B, in the role of the responder, sends the triple (TB, zB) to A. 3. On reception of B’s message, A calculates K = hrAsATB = hrArBsAsBP, (6) and verifies whether e′B = H1(XXX,IDB, xTA , xTB , xK), (7) TB =? zBP − e′ YB (8) holds. If the verification fails, A terminates the execution. Otherwise, A proceeds to compute eA = H1(XXX,IDB, xTB , xTA , xK ), (9) zA = rA + eAsA mod q (10) accordingly and then sends zA to B. 4. B computes and checks whether
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