Scenarios and de nitions Sample Clauses

Scenarios and de nitions. We now formalize key-agreement protocols; the security of such protocols will be de xxx later. De nition 1. A key-agreement protocol consists of three phases: { a (possibly missing) initialization phase1 in which Xxxxx, Xxx and an ad- versary Eve receive random variables X, Y and Z, respectively, which are jointly distributed according to some probability distribution PXY Z.
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Scenarios and de nitions. We now formalize key-agreement protocols; the security of such protocols will be de xxx later. De nition 1. A key-agreement protocol consists of three phases: { a (possibly missing) initialization phase1 in which Xxxxx, Xxx and an ad- versary Eve receive random variables X, Y and Z, respectively, which are jointly distributed according to some probability distribution PXY Z. { During the communication phase Xxxxx and Xxx alternate sending each other messages C1; C2; : : : where we assume that Xxxxx sends messages C1; C3; C5; : : : and Bob sends messages C2; C4; C6; : : : Each message depends possibly on the sender's entire view of the protocol at the time it is sent and possibly on privately generated random bits. Let t be the total number of messages and let Ct = [C1; : : : ; Ct] denote the set of exchanged messages. { Finally, Xxxxx and Xxx each either accepts or rejects the protocol execution, depending on whether they believe to be able to generate a secret key. If Xxxxx accepts, she generates a key S depending on her view of the protocol. Similarly, if Bob accepts, he generates a key S0 depending on his view of the protocol. In general, the channel connecting Xxxxx and Xxx is completely insecure, i.e. Xxx can see every message Ci and replace it by an arbitrary message C~i of her choice. She need not keep Xxxxx and Xxx synchronized and she can impersonate either party by fraudulently initiating a protocol execution. For stating impossibility results in the strongest possible form, we also con- sider protocols in which certain messages can be sent in a secret or authenticated manner (by appropriate means not speci ed by the protocol).

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