By Yehuda Lindell
This ebook constitutes the refereed lawsuits of the eleventh idea of Cryptography convention, TCC 2014, held in San Diego, CA, united states, in February 2014. The 30 revised complete papers offered have been conscientiously reviewed and chosen from ninety submissions. The papers are prepared in topical sections on obfuscation, purposes of obfuscation, 0 wisdom, black-box separations, safe computation, coding and cryptographic purposes, leakage, encryption, hardware-aided safe protocols, and encryption and signatures.
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Additional resources for Theory of Cryptography: 11th Theory of Cryptography Conference, TCC 2014, San Diego, CA, USA, February 24-26, 2014. Proceedings
R ) is non-trivial. We note that a very similar claim was proven by Bitansky et al. 15]. 3). Given an arithmetic circuit computing a multivariate polynomial P : Zp → Zp of total degree d such that P ≡ 0, the procedure Simplify is as follows: 1. Set P1 = P . repeat the following for j = 1 to . 2. Decompose Pj as follows: d Pj (kj , . . , k ) = kji · Pj,i (kj+1 , . . , k ). i=1 3. Set Pj+1 to be the non-zero polynomial Pj,i with the minimal i. Note that decomposing an arithmetic circuit into homogeneous components can be done efficiently.
ACM (2005) 22. : A minimal model for secure computation (extended abstract). In: STOC, pp. 554–563 (1994) 23. : Candidate multilinear maps from ideal lattices. Q. ) EUROCRYPT 2013. LNCS, vol. 7881, pp. 1–17. Springer, Heidelberg (2013) 24. : Candidate indistinguishability obfuscation and functional encryption for all circuits. Cryptology ePrint Archive, Report 2013/451 (2013); Extended abstract in FOCS 2013 25. : Fully homomorphic encryption using ideal lattices. In: Mitzenmacher, M. ) STOC, pp.
Set P1 = P . repeat the following for j = 1 to . 2. Decompose Pj as follows: d Pj (kj , . . , k ) = kji · Pj,i (kj+1 , . . , k ). i=1 3. Set Pj+1 to be the non-zero polynomial Pj,i with the minimal i. Note that decomposing an arithmetic circuit into homogeneous components can be done efficiently. It is left to show that for every r ∈ Zp if P (r) = 0 then there exists j ∈ [ ] such that Q(x) = Pj (x, rj+1 , . . , r ) ≡ 0 , and Pj (rj , rj+1 , . . , r ) = 0. The proof is by induction on j. The base case is when j = 1, for which it holds that: P1 (x1 , .