By Adi Shamir, Eran Tromer (auth.), Dan Boneh (eds.)
Crypto 2003, the twenty third Annual Crypto convention, used to be backed through the Int- nationwide organization for Cryptologic examine (IACR) in cooperation with the IEEE machine Society Technical Committee on safety and privateness and the pc technology division of the college of California at Santa Barbara. The convention obtained 169 submissions, of which this system committee chosen 34 for presentation. those complaints comprise the revised models of the 34 submissions that have been offered 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 characterize cutti- part learn within the cryptographic neighborhood around the world and canopy all parts of cryptography. Many high quality works couldn't be permitted. 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 application additionally integrated the normal rump consultation, chaired via Stuart Haber, that includes brief, casual talks on late-breaking examine information. Assembling the convention application calls for the aid of many many folks. To all those that pitched in, i'm eternally on your debt. i need to ?rst thank the various researchers from around the world who submitted their paintings to this convention. with no them, Crypto couldn't exist. I thank Greg Rose, the overall chair, for safeguarding me from innumerable logistical complications, and displaying nice generosity in aiding my e?orts.
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Extra info for Advances in Cryptology - CRYPTO 2003: 23rd Annual International Cryptology Conference, Santa Barbara, California, USA, August 17-21, 2003. Proceedings
Factoring Large Numbers with the TWIRL Device 21 Identifying candidates. , downstream for all stations) we place an array of comparators, one per bus line, that identify a values for which g(a) > T . , the candidates) are identiﬁed. In the cascaded sieves variant, only sieve locations that passed the threshold on the rational TWIRL are further processed by the algebraic TWIRL, and thus the candidates are exactly those sieve locations that passed the threshold in the algebraic TWIRL. The fraction of sieve locations that constitute candidates is very small 2 · 10−11 .
725 ] In this section, we present an attack on RSA for public exponents e in the interval √ 6−1 1 [N 2 , N 2 ] given most signiﬁcant bits of d. This answers an open question of Boneh, Durfee and Frankel  whether there are√partial key exposure attacks in the case of known MSBs beyond the bound e = N . Our approach makes use of Coppersmith’s method for modular polynomial equations in the trivariate case. Theorem 6 Under Assumption 5, for every > 0 there exists an integer N0 such that for every N > N0 the following holds: √ Let (N, e) be an RSA public key, where α = logN (e) is in the range [ 12 , 6−1 2 ].
Tromer Let sR and sA denote the s values of the rational and algebraic sieves respectively. The reason we cannot increase sA and gain further “free” parallelism is that the bus becomes unmanageably wide and the delivery lines become nu˜ 2 )). However, the bus is designed to sieve merous and long (their cost is Θ(s sA sieve locations per pipeline stage. 7·10−4 of the sieve locations do not pass the threshold in the rational sieve,23 and thus cannot form candidates regardless of their algebraic-side quality.