By Jean-Sébastien Coron, Jacques Patarin, Yannick Seurin (auth.), David Wagner (eds.)
This ebook constitutes the refereed lawsuits of the twenty eighth Annual foreign Cryptology convention, CRYPTO 2008, held in Santa Barbara, CA, united states in August 2008.
The 32 revised complete papers offered have been conscientiously reviewed and chosen from 184 submissions. Addressing all present foundational, theoretical and examine features of cryptology, cryptography, and cryptanalysis in addition to complex functions, the papers are geared up in topical sections on random oracles, purposes, public-key crypto, hash services, cryptanalysis, multiparty computation, privateness, 0 wisdom, and oblivious transfer.
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Extra info for Advances in Cryptology – CRYPTO 2008: 28th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 17-21, 2008. Proceedings
S ] ≥ 1 Pr [X4 ] . q (10) Programmable Hash Functions and Their Applications 35 Game 6. a if there is an index i with si = si∗ but ami = 0, or if am = 0 for the adversary’s forgery message. a iﬀ we do not have ami = 0 for all i with si = si∗ and ami = 0. Since we have limited the number of such i to m in Game 4, we can use the programmability of H. a ] ≥ δ · Pr [X5 ] . (11) Note that in Game 6, the experiment never really uses secret key x to generate signatures: to generate the yi for si = si∗ , we already use (7), which requires no x.
S. ) CRYPTO 1997. LNCS, vol. 1294, pp. 16–30. Springer, Heidelberg (1997) 21. : Secure hash-and-sign signatures without the random oracle. In: Stern, J. ) EUROCRYPT 1999. LNCS, vol. 1592, pp. 123– 139. Springer, Heidelberg (1999) 22. : Practical identity-based encryption without random oracles. In: Vaudenay, S. ) EUROCRYPT 2006. LNCS, vol. 4004, pp. 445–464. Springer, Heidelberg (2006) 23. : A digital signature scheme secure against adaptive chosen-message attacks. SIAM Journal on Computing 17(2), 281–308 (1988) 24.
Game 4. , if there are pairwise distinct indices i1 , . . , im+1 with si1 = . . = q such tuples (i1 , . . , im ). For each tuple, the probability sim+1 . There are m+1 for si1 = . . = sim+1 is 1/2mη A union bound shows that a (m + 1)-wise collision occurs with probability at most Pr [abortcoll ] ≤ q 1 q m+1 ≤ . m + 1 2mη 2mη Hence, Pr [X4 ] ≥ Pr [X3 ] − Pr [abortcoll ] > Pr [X3 ] − q m+1 . 2mη (9) Game 5. , the adversary returns a forgery attempt (s, y) with s = si for some i, but s = si∗ .
Advances in Cryptology – CRYPTO 2008: 28th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 17-21, 2008. Proceedings by Jean-Sébastien Coron, Jacques Patarin, Yannick Seurin (auth.), David Wagner (eds.)