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Download Advances in Cryptology - CRYPTO 2003: 23rd Annual by Adi Shamir, Eran Tromer (auth.), Dan Boneh (eds.) PDF

By Adi Shamir, Eran Tromer (auth.), Dan Boneh (eds.)

Crypto 2003, the twenty third Annual Crypto convention, was once backed via the Int- nationwide organization for Cryptologic study (IACR) in cooperation with the IEEE desktop Society Technical Committee on safety and privateness and the pc technological know-how division of the collage of California at Santa Barbara. The convention bought 169 submissions, of which this system committee chosen 34 for presentation. those court cases comprise the revised models of the 34 submissions that have been awarded on the convention. those revisions haven't been checked for correctness, and the authors endure complete accountability for the contents in their papers. Submissions to the convention symbolize cutti- facet study within the cryptographic group world wide and canopy all parts of cryptography. Many top of the range works couldn't be accredited. those works would certainly be released somewhere else. The convention application integrated invited lectures. Moni Naor spoke on cryptographic assumptions and demanding situations. Hugo Krawczyk spoke at the ‘SI- and-MAc’approachtoauthenticatedDi?e-HellmananditsuseintheIKEpro- cols. The convention software additionally incorporated the normal rump consultation, chaired through Stuart Haber, that includes brief, casual talks on late-breaking learn information. Assembling the convention application calls for the aid of many many folks. To all those that pitched in, i'm perpetually on your debt. i need to ?rst thank the numerous researchers from around the globe who submitted their paintings to this convention. with out them, Crypto couldn't exist. I thank Greg Rose, the final chair, for protecting me from innumerable logistical complications, and displaying nice generosity in aiding my e?orts.

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Additional info for Advances in Cryptology - CRYPTO 2003: 23rd Annual International Cryptology Conference, Santa Barbara, California, USA, August 17-21, 2003. Proceedings

Example text

1 Using the bounds X = N δ , Y = 4N α− 2 and Z = 3N 2 we obtain 1 4 det L(M ) = N 24 m (3τ 2 (2α−1)+4τ (δ+α+2)+δ+α+ 72 )(1+o(1)) . 1 m3 (12τ + 4)(1 + o(1)). Neglecting low An easy calculation shows that n = 24 order terms, our condition simplifies to 3τ 2 (2α − 1) + 4τ (δ + α − 1) + δ + α − The left hand side is minimized for the choice τ = in, we obtain the desired condition δ≤ 1 5 − 2α − 8 1 < 0. 2 2 1−δ−α 3 2α−1 . Plugging this value 36α2 + 12α − 15 , which concludes the proof. Combining Theorem 7 and Lemma 8, from the three vectors with norm smaller m we obtain three polynomials f1 (x, y, z), f2 (x, y, z) and f3 (x, y, z) than √ N dim L(m) 38 J.

New Partial Key Exposure Attacks on RSA 31 Detailed Overview: We briefly overview all known polynomial time partial key exposure attack by giving the precise functions of the bits that have to be known. Let α = logN (e) denote the size of e in terms of N . In Figure 4, the upper half of the table states the results for known MSBs whereas the lower half is dedicated to the results for known LSBs. The attacks for known bits of dp are stated in the last lines of each half. α = logN (e) Fraction of bits that is needed Restriction/Comment BDF [4] [ 14 , 12 ] α e prime/known fact.

Combining Theorem 7 and Lemma 8, from the three vectors with norm smaller m we obtain three polynomials f1 (x, y, z), f2 (x, y, z) and f3 (x, y, z) than √ N dim L(m) 38 J. Bl¨ omer and A. May with the common root (x0 , y0 , z0 ). Our goal is to extract the value z0 = p + q − 1. The equation N = pq together with the number z0 yields the factorization of N . Therefore, we take the resultants resx (f1 , f2 ) and resx (f1 , f3 ) with respect to x. The resulting polynomials g1 and g2 are bivariate polynomials in y and z.

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