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, used to be subsidized by way of the Int- nationwide organization for Cryptologic study (IACR) in cooperation with the IEEE laptop Society Technical Committee on protection and privateness and the pc technology division of the college of California at Santa Barbara. The convention acquired 169 submissions, of which this system committee chosen 34 for presentation. those complaints comprise the revised types of the 34 submissions that have been offered 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 symbolize cutti- part examine within the cryptographic group around the globe and canopy all parts of cryptography. Many fine quality works couldn't be approved. those works would definitely be released in different places. The convention application incorporated 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 application additionally integrated the conventional rump consultation, chaired via 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 without end on your debt. i need 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 safeguarding 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

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The clock rate is 1GHz clock rate, which appears realistic with judicious pipelining of the processors. We have derived rough estimates for all major components of the design; this required additional analysis, assumptions and simulation of the algorithms. Here are some highlights, for 1024-bit composites with the choice of parameters specified throughout Section 3. A typical largish special-purpose processor is assumed to require the area of 96,400 R logic-density transistors (including the amortized buffer area and the small amount of cache memory, about 14Kbit R , that is independent of pi ).

Experimental results for known MSBs Proof (Theorem 6). : We start by looking at the public key equation ed − 1 = kφ(N ), where k ∈ Z. (1) Boneh, Durfee and Frankel [4] observed that a suitable fraction of the MSBs of d yields the parameter k. The main drawback of the methods presented in [4] is that they all require that √ k is known exactly. This restricts the methods’ usability to public exponents e ≤ N . Now let us relax this restriction and look at the case where one obtains only ˜ an approximation k˜ of k.

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. BDF [4] [0, 12 ] 1−α Section 4 [ 12 , √ 6−1 ] 2 BDF [5] [0, 12 ] Section 2 [0, 14 ] BDF [5] O(logN log N ) Section 5 [0, 12 ] Section 6 [0, 78 ] 1 8 3 + 2α + √ 36α2 + 12α − 15 1 6 Section 2 O(logN log N ) +α 1 4 1 2 + 1 3 heuristic = Ω(1) bits of dp N = 3 mod 4 +α √ = Ω(1) d √ , |p−q| φ(N ) N 3 4 1 4 d φ(N ) 1 + 6α 1 4 all but O(N α− ) e’s heuristic bits of dp Fig.

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