By Henri Gilbert
This booklet constitutes the refereed lawsuits of the twenty ninth Annual overseas convention at the conception and functions of Cryptographic thoughts, EUROCRYPT 2010, hung on the French Riviera, in May/June 2010. The 33 revised complete papers provided including 1 invited lecture have been rigorously reviewed and chosen from 188 submissions. The papers tackle all present foundational, theoretical and examine facets of cryptology, cryptography, and cryptanalysis in addition to complex functions. The papers are geared up in topical sections on cryptosystems; obfuscation and part channel defense; 2-party protocols; cryptanalysis; computerized instruments and formal equipment; types and proofs; multiparty protocols; hash and MAC; and foundational primitives.
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Additional info for Advances in Cryptology - EUROCRYPT 2010: 29th Annual International Conference on the Theory and Applications of Cryptographic Techniques, French Riviera, ... Computer Science Security and Cryptology)
Then to encrypt a bit m, the ciphertext is essentially set as m plus a subset sum of the xi ’s. We reduce the security of this scheme to approximate integer gcd – roughly, that it is hard to recover p from the xi ’s. This problem, for the case of two xi ’s, was analyzed by Howgrave-Graham . Our parameters – in particular, the large size of the qi ’s – are designed to avoid a generalized version of his attack (as well as other attack avenues, such as solving the associated simultaneous Diophantine approximation problem).
Lastly B repeats the binary-GCD procedure from above using z1 = z1∗ and z2 = z˜, and the sequence of parity bits of the qp (z1 )’s in all the iterations spell out the binary representation of qp (z1∗ ). Now B recovers p = z1∗ /qp (z1∗ ) . Summary. We have shown that B can recover p given access to a reliable oracle for computing [qp (z)]2 (for z’s with noise much smaller than p). It is left to analyze the probability (over B’s choice of public key) with which the procedure Learn-LSB(z, pk) from above is indeed such a reliable oracle.
4948, pp. 37–54. : SWIFFT: A modest proposal for FFT hashing. In: Nyberg, K. ) FSE 2008. LNCS, vol. 5086, pp. 54–72. : Generalized compact knapsacks, cyclic lattices, and eﬃcient oneway functions. : Worst-case to average-case reductions based on Gaussian measures. SIAM J. Comput. : Statistical zero-knowledge proofs with eﬃcient provers: Lattice problems and more. In: Boneh, D. ) CRYPTO 2003. LNCS, vol. 2729, pp. 282–298. : Public-key cryptosystems from the worst-case shortest vector problem. In: STOC, pp.
Advances in Cryptology - EUROCRYPT 2010: 29th Annual International Conference on the Theory and Applications of Cryptographic Techniques, French Riviera, ... Computer Science Security and Cryptology) by Henri Gilbert