The Core Cryptographic Protocol of JFKi Sample Clauses

The Core Cryptographic Protocol of JFKi. The basic cryptographic core of this protocol is the same as the ISO 9798-3 protocol. This protocol can be briefly summarized as below. For subsequent discussion, B plays the role of the initiator and A plays the role of responder. We call this protocol JFKir A ← B : XX, X, xx (1) A → B : NA, NB, A, ga, SA[NA, NB, ga, gb, B] (2) A ← B : XX, XX, XX[XX, XX, ga, gb, A] (3) A salient point about this protocol is that each party signs, in addition to the nonces and the two public DH exponents, the identity of the peer. If the peer’s identity is not signed then the protocol is completely broken. JFKi inherits the same basic core security. In addition, JFKi adds a preliminary cookie mecha- nism for DoS protection (which results in adding one flow to the protocol and having the responder in JFKi play the role of A), and encrypts the last two mes- sages in order to provide identity protection for the initiator. We will discuss these additions further below. The session key for JFKir is derived from a pseudorandom function H with key gab and input NA, NB and output of the appropriate length for the subse- quent session. The JFKir protocol was analyzed and proven secure in Xxxxxxx and Xxxxxxxx [2001]. That is, Xxxxxxx and Xxxxxxxx [2001] show that the protocol is SK- secure if the signature scheme is secure, the pseudorandom function H is se- cure, and the decisional Diffie–Xxxxxxx (DDH) assumption holds. As we later will need to strengthen this latter assumption we discuss it briefly below. { | |} The DDH problem for the cyclic group G is as follows. With equal probability the input is either a DH tuple ( g , ga, gb, gab) or a “random tuple” ( g , ga, gb, gr ), where g is a generator of G, and where a, b, and r are random in 1, 2, ... , G . The output is a declaration saying that the input is a DH tuple or that the input is a random tuple. The DDH assumption holds for a group G if for all feasible algorithms the probability that the algorithm is correct at most 1/2 plus a negligible amount.
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The Core Cryptographic Protocol of JFKi. The basic cryptographic core of this protocol is the same as the ISO 9798-3 protocol. This protocol can be briefly summarized as below. For subsequent discussion, X plays the role of the initiator and A plays the role of responder. JFKi’

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