Game G3 definition

Game G3. We now furthermore reject any signed-authenticator that is non-oracle-generated whereas the player is still honest: the adversary does not know the signing key, and thus cannot correctly sign the authenticator. One can easily show that a di erence between G2 and G3 would lead to an attack against the one-time signature scheme.
Game G3. In this game, we abort the protocol runs if the adversary has been lucky in guessing the values k1 and k2 without asking the corresponding random oracle queries. We achieve this aim by adding more steps to processing the Send queries in the simulation. In processing the Send(Ci, (µ, k1)) query, the client should check if (2, C, S, m, µ, α, γj, k1) ∈ LA or ((C, m), (µ, k1), ∗) ∈ LP just before setting AcceptCi true (that is, right after checking that k1 = k1j ). If both tests fail, the client should terminate without accepting. In pro- cessing the Send(Sj, k2) query, the server should check if (3, C, S, m, µ, β, γj, k2) ∈ LA or ((C, m), (µ, k1), k2) ∈ LP just before setting AcceptSj true (that is, right after checking that k2 = k2j ). If both tests fail, the server should terminate without accepting. This modification ensures that k1 and k2 will come, in valid form, from either the simulator that traces pairing or an adversary that has asked correct random oracle queries in all accepted cases. The two games G3 and G2 are perfectly indistinguishable unless the client rejects the valid k1 or the server rejects the valid k2. The rejection may happen only if the adversary has correctly guessed the values k1 and k2 without asking the corresponding random oracle queries. So we have: |Pr[Succ3] − Pr[Succ2]| ≤ O(qse)
Game G3. The difference between G2 and G3 is that |Hash| |PUF| |D| | | | | | | where qh , qP , and qsend denote the number of hash, PUF, and Send queries, respectively. Also, Hash , PUF , and D denote the length of the hash output, length of the PUF-based output strings, and the length of the output of an algorithm that simulations of the Send and PUF queries are included in G3 . In the proposed scheme, we assume that the PUFs used in the UAVs are secure as defined in Section V-B. Therefore, as in G2 , we also have: AKE pAKE protocol, respectively. resolves a particular problem by running A on a simulation q A,G2 A,G3 2|PUF| Adv − Adv ≤

Examples of Game G3 in a sentence

  • Game G3: F generates a random session key for an interrupted session.


More Definitions of Game G3

Game G3. This game is exactly same as the game G2 except that we use an instance (A = ga, B = gb) of CDH problem with its solution C = gab and the given values a, b in the simulation according to the following distribution of transcript, session key pair.  c , c , x , . . . , x ←− Z∗; k , . . . , k  ←− {0, 1}l  1 2 3  c1 n q 1 n c2 x3  xn  oracle goes into an expecting state.  X1 = A , X2 = B , X3 = g , . . . , Xn = g ;  Similarly on Send1(Un, dn, Y1) and Send1(Un, dn, Yn−1) Y    = Epw
Game G3. In this game, if the adversary A can fake ⟨Sj, Fi, θ, ρ, Lj⟩ without making the random oracle queries, • Event E4: Similar to event E3, A is allowed to ask the Update(V a, UPW ) query. A can obtain updat- the scheme is simply terminated. This situation only appears in the Send queries. As a result, Games G3 and G2 are perfectly indistinguishable unless the vehicle rejects Sj or Lj, or the RA
Game G3. This game is exactly same as the game G2 except that we use an instance (A = ga, B = gb) of CDH problem with its solution C = gab and the given values a, b in the simulation according to the following distribution of transcript, session key pair.  c , c , x , . . . , x ←− Z∗; k , . . . , k  ←− {0, 1}l  1 2 3  c1
Game G3. This game considers a situation where A obtains the correct message transcript luckily without active participation of hash oracles H. The authentication phase of our protocol involves six messages communication mi, (i=1,..6) where m1, m2 , m3, m4, m5 and m6 represent {(C1, C2), (C3, C4), IDH, s, R2 }, {(C1, C2), IDV, (R3, CV) }, {c, CH }, {c, e }, { ei} and {fi}, respectively. We consider following cases, Send(U, m1), Send(V, m2), Send(S, m3), Send(V, m4), Send(U, m5), and Send(V, m6). In each case, we querying the hash oracle. Since H is a private oracle, the probability that adversary A correctly guesses the value of b in the game is Pr(Succ4 ) = 1/2. (20) Games G3 and G4 are perfectly indistinguishable unless the following event AskH occurs: the adversary A queries hash function H7 on R || N 0|| h2 (n1 ) || h2 (n2 ) || h2 (n3 ) || h4 (r1 R3 ) or on R ||N || h (n ) || h (n ) || h (n ) || h (r R ) . Hence, we consider the maximum probability of the hash values falling within the list LA. For example, for have

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