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If both are equal, S i accepts the login request = { M3, M4, M5} of C i.
If both are equal, S i accepts the login request = {ID i, M2, M3} of C i.
If both are equal, S i accepts the login request = {ID i, M 2, M 3} of C i. S i first checks the format of ID i.
If both are equal, S i accepts the login request = { M 3, M 4, M 5} of C i. S i computes the following values: (9) M 6 = h (x s || y s ), M 7 = M 3 ⊕ M 6 (which is indeed R c ), ID i = M 4 ⊕ (M 6 || M 7 ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com