Game G5 definition

Game G5. In this game, we rst deal with the passive case, in which all the ows are oracle-generated. The simulation of the rst three rounds is done as in G4 and we then consider two cases. If all the ows were oracle-generated up to round 4, we require S to simulate the end of the execution of the protocol on behalf of all the players. Otherwise, it simply follows the protocol (as above). In the former case (with only oracle-generated ows up to round 4), the simulator starts round 4 by asking a SamePwd-query. Notice that since we are assuming that S knows all the passwords, this boils down to verify that all the passwords are actually the same. Now we distinguish two cases: If all passwords are the same, S asks a Delivery query with a random key and keyword yes to the functionality for each player. Otherwise, all the players receive an error message. A problem only appears if A asks the corresponding query to H0, but then it must have obtained the values hi and event AskH, as described below, appears.
Sample 1Sample 2
Game G5. In this game, we attempt to solve CDH if the adversary has been lucky in guessing the password before a Corrupt query and asks Execute(Ci, Sj) and random oracle queries. We achieve this aim by further modifying the random oracle queries to hi for i 2, 3, 4 and using the reduction from CDH. In other words, given a random Xxxxxx-Xxxxxxx instance X, Y such that X gx and Y gy, we construct an algorithm Ψ that attempts to solve CDH (i.e., find Z such that Z gxy) by running on the simulation changed in the following way. R R
Sample 1
Game G5. Game G5 is same as Game G4 except that instead of a DDH-tuple (g, gra , grb , grarb ), ∆ chooses a random tuple (g, gra , grb , grc ). ∆ continues answering the queries as in Game G4, except that the role of grarb is taken by grc . And now when answering the Reveal query or Test query (in case r rc bit b = 1), ∆ uses g a in computing the session key instead of g rb which the protocol demands. Thus the only difference between games G4 and G5 is the computational distance between a DDH-tuple and a random tuple, therefore: | Pr[W in4] - Pr[W in5]| ≤ AdvDDH(tj). where tj is bounded by t + |P|(qex + qs)(texp + tlkup), texp being the time to perform an exponentiation in G and tlkup the time to perform a look-up in tables L and Sessions.
Sample 1

Examples of Game G5 in a sentence

  • Initialize(k, T ) Game G5, G6, G7501 hc ← 1 ; b ← T + 1Breakin(i) Game G7, G8, G9721 if b = T + 1722 and 1 ≤ i ≤ T then$502 fp ← {1, .

  • An originating participant shall promptly make the funds available for withdrawal to a customer where a payment instruction is deemed final.

  • We assume that is an attacker that breaks the AKE security game with a different advantage in Game G5 than in Game G4, then we construct an adversary ' which is able to distinguish triples coming from either a DDH or a random distribution: at the beginning of the experiment, ' receives a triple (X, Y, Z) which is a DDH triple if b = 0 or a random triple if b = 1.

  • Game G5 preserves the same probability as G4:Pr[G5 = 1] = Pr[G4 = 1] .Game G6: Let G6 be the game obtained from G5 where the ciphertext Cb from the challenge signature σb = (σb, Cb, πj , otsvkb) is replaced with the C0.

  • Game G5: We will now use the extractability property of our commitment scheme to check the adversary’s commitment, by modifying the simulator as follows:←1.

  • Game G5: In this game, we reject decryption queries that should decrypt a sub-ciphertext from the challenge ciphertext.

  • Game G5: This game G5 is the same as G4, except we abort if 2 queries OTr(m, Ψ, (σo, C, π, otsvk)) when C = Cb. The output of OTr remains unchanged between these two games, as the oracle return if otsvkb from C is differentfrom otsvk received as input.

  • While generating signatures on a query with index j ∈ S, the challenger generates the signature as in Game G6 (i.e., samples γ and ρˆ uniformly randomly), and for all other queries it generates the signature as in Game G5.

  • Game G5 differs from G4 by the output distribution of the ideal cipher.

  • The difference between G4 and G3 is again negligible if the token is unforgeable.– In Game G5, we replace the key sskA,B with a random key.

Related to Game G5

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