By Omer Reingold, Luca Trevisan, Salil Vadhan (auth.), Moni Naor (eds.)

ISBN-10: 3540210008

ISBN-13: 9783540210009

ISBN-10: 354024638X

ISBN-13: 9783540246381

This e-book constitutes the refereed complaints of the 1st foreign thought of Cryptography convention, TCC 2004, held in Cambridge, MA, united states in February 2004.

The 28 revised complete papers provided have been rigorously reviewed and chosen from 70 submissions. The papers represent a different account of unique examine effects on theoretical and foundational subject matters in cryptography; they care for the paradigms, techniques, and methods used to conceptualize, outline, and supply suggestions to common cryptographic problems.

**Read Online or Download Theory of Cryptography: First Theory of Cryptography Conference, TCC 2004, Cambridge, MA, USA, February 19-21, 2004. Proceedings PDF**

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**Additional info for Theory of Cryptography: First Theory of Cryptography Conference, TCC 2004, Cambridge, MA, USA, February 19-21, 2004. Proceedings**

**Example text**

Since, for each x, the random output a(x) (of the binary random oracle R) is equal to the output π(x) (of the ﬁxed program π) with probability at most 1/2, we have pπ ≤ 2−q = 2−2|π|−k . Hence, the probability pl of the event that there exists a program π of length l such that D(R) outputs 1 is bounded by pπ ≤ 2l · 2−2l−k = 2−l−k . pl ≤ π∈{0,1}l Finally, the probability p that there exists a program π of arbitrary length causing D(R) to output 1 is bounded by ∞ ∞ pl ≤ p≤ l=1 2−l · 2−k ≤ 2−k . l=1 D satisﬁes property (b).

For instance, let S be a system with two interfaces and let T be a system whose interface is connected to the ﬁrst interface of S. The resulting system, denoted as S(T ), has one interface corresponding to the second (free) interface of S as shown in Fig. 1(a). In this case, the original system S is denoted as S(·), and T is called component of S(T ). , E(C priv , A(C pub )) and B(V priv ) for the conﬁguration depicted in Fig. 1(b) and Fig. 1(c), respectively. C T ✻ ❄ priv ✻ pub ✻ ❄ A S ✻ ❄ (a) S(T ) V ✻ ❄ ❄ E priv ✻ ❄ pub ✻ B ✻ ❄ ❄ (c) B(V priv ) ✻ ❄ (b) E(C priv , A(C pub )) Fig.

The main task required for the proof of this theorem is the computation of the entropies according to the deﬁnitions in Section 3. The assertion then 7 We will assume that the outputs of random oracles, beacons and ﬁnite random strings are single bits. This entails no restriction of generality since any of these random functions providing outputs of some length l can eﬃciently be reduced to a corresponding random function with outputs of length 1 (as long as l grows only polynomially in the security parameter k).

### Theory of Cryptography: First Theory of Cryptography Conference, TCC 2004, Cambridge, MA, USA, February 19-21, 2004. Proceedings by Omer Reingold, Luca Trevisan, Salil Vadhan (auth.), Moni Naor (eds.)

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