By Heinrich Schliemann
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Extra resources for Ilios: The City and Country of the Trojans: The Results of Researches and Discoveries On the Site of Troy and Through the Troad in the Years 1871-72-73-78-79. Including an Autobiography of the Author
Signature Ssk (m): it produces a signature σ ← Ssk (m) for a message m using the secret key sk. Verification Vpk (m, σ): it tests whether σ is a valid signature for message m using the public key pk. The algorithm outputs either 1 (valid) or 0 (invalid). 4 Security Model for Existential Unforgeability The de facto security notion is existential unforgeability under adaptive chosen message attacks  which is deﬁned using the following game. Setup: The challenger runs G. It gives the adversary the resulting public key pk and keeps the private key sk to itself.
C simulates as deﬁned above. – Output. Finally, A outputs b as its guess on b. 0 ( ). One can note the We deﬁne the advantage of A in game G0 as AdvGA,OSBE deﬁnition of game G0 is exactly the original model of semantic security and thus 0 ( ) = AdvSS we have AdvGA,OSBE A,OSBE ( ). Game G1 . Let game G1 be the same game as G0 , except that in the challenge $ $ stage, instead of choosing W2∗ ← LM ∗ , C chooses W2∗ ← XM ∗ \LM ∗ and computes ∗ ∗ ∗ ∗ V as V = ProjHash(hp, W1 , w1 ) ⊕ IB-Hash(hkM ∗ , W2∗ ).
A database DIVS records all the signing queries. Output: Finally, the adversary outputs (w∗ , pk ∗ , M ∗ , t∗ , Rt∗ , σ ∗ ). The adversary wins if pk ∗ ∈ Rt∗ , (w∗ , pk ∗ , M ∗ , t∗ , Rt∗ ) has not been queried to Sign oracle, and (Y, t∗ , pk ∗ , pko , M ∗ , σ ∗ ) can pass the veriﬁcation. Definition 7. A proxy signature scheme is (t, qD , qR , qS , )-strongly existentially unforgeable under an adaptive chosen message attack if no t-time adversary AIV making at most qD delegation queries, qR revocation queries and qS signing queries has advantage at least in the above game.