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 examine (IACR) in cooperation with the IEEE desktop Society Technical Committee on safety and privateness and the pc technology division of the college of California at Santa Barbara. The convention got 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 undergo complete accountability for the contents in their papers. Submissions to the convention characterize cutti- area learn within the cryptographic group around the world and canopy all parts of cryptography. Many top quality works couldn't be approved. those works would definitely be released somewhere else. The convention software 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 integrated the conventional rump consultation, chaired via Stuart Haber, that includes brief, casual talks on late-breaking study information. Assembling the convention application calls for the aid of many many of us. To all those that pitched in, i'm perpetually on your debt. i want to ?rst thank the various researchers from worldwide who submitted their paintings to this convention. with no them, Crypto couldn't exist. I thank Greg Rose, the final chair, for protecting me from innumerable logistical complications, and exhibiting nice generosity in helping my e?orts.

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

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For our 1024bit estimates we picked the following pair of polynomials, which have a common integer root modulo the RSA-1024 composite: f (x) = 1719304894236345143401011418080x5 − 6991973488866605861074074186043634471x4 + 27086030483569532894050974257851346649521314x3 + 46937584052668574502886791835536552277410242359042x2 − 101070294842572111371781458850696845877706899545394501384x − 22666915939490940578617524677045371189128909899716560398434136 g(x) = 93877230837026306984571367477027x − 37934895496425027513691045755639637174211483324451628365 Factoring Large Numbers with the TWIRL Device 25 Subsequent analysis of relations yield was done by integrating the relevant smoothness probability functions [11] over the sieving region.

By Minkowski’s second theorem we know that for any 3-dimensional lattice L and its successive minima λ1 , λ2 , λ3 λ1 λ2 λ3 ≤ 2 det(L). In our case det(L) = N 2 XY . Hence for all e such that λ1 > 6XY , we get λ2 < √N3 and we are done. Now assume λ1 ≤ 6XY . Hence, we can find coefficients c0 , c1 , c2 ∈ Z such that (c0 , c1 , c2 )B < 6XY . This implies |c2 | ≤ 6X 6Y c1 eM ≤ + c2 N c2 N Using XY ≤ 3N 1− , the second inequality implies 18 c1 eM ≤ + c2 N c2 XN (5) Next we bound the number of e’s in [3, N α ] that can satisfy (5) for some ratio c1 c2 .

5 bits per μm, possibly achieved by using multiple metal layers. Note that since the device contains many interconnected units of non-uniform size, designing an efficient layout (which we have not done) is a non-trivial task. However, the number of different unit types is very small compared to designs that are commonly handled by the VLSI industry, and there is considerable room for variations. The mostly systolic design also enables the creation devices larger than the reticle size, using multiple steps of a single (or very few) mask set.

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