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

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 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 complaints include the revised models of the 34 submissions that have been provided 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- side examine within the cryptographic neighborhood around the globe and canopy all parts of cryptography. Many high quality works couldn't be authorised. those works would definitely be released in other places. 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 by way of Stuart Haber, that includes brief, casual talks on late-breaking examine information. Assembling the convention application calls for assistance from many many of us. To all those that pitched in, i'm endlessly 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 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

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If such a diary entry is found, the processor transmits pi downstream via the divisors channel (with retry in case of collision). The probability of intermingling data belonging to different candidates is negligible, and even then we can recover (by appropriate divisibility tests). In the cascaded sieves variant, the algebraic sieve records to diaries only those contributions that were not discarded at the delivery lines. The rational diaries are rather large ( 13,530 R entries) since they need to keep their entries a long time — the latency z includes passing through (at worst) all rational 24 Namely, by finding the small factors of Fj (a − R,b) where Fj is the relevant NFS polynomial and b is the line being sieved.

E = poly(log N )) a quarter of the bits of d are sufficient to find the factorization of N . Their method makes use of a well-known theorem due to Coppersmith [8]: Given half of the bits of p, the factorization of N can be found in polynomial time. Considering known MSBs, Boneh, Durfee and Frankel presented an algorithm 1 that works for all e < N 2 , again using Coppersmith’s theorem. However it remained an open question in [4] whether there are polynomial time algorithms 1 that find the factorization of N for values of e substantially larger than N 2 given only a subset of the secret key bits.

However, for sieving we care only about throughput. Disregarding latency leads to smaller circuits and higher clock rates. 26 For the algebraic sieves the situation is even more extreme (cf. 6). ˜ In the design of [7], the state of each progression is duplicated Θ(B/p i) ˜ B/pi ) in TWIRL) or handled by other means; this times (compared to Θ( greatly increases the cost. For the primary set of design parameters suggested in [7] for factoring 512-bit numbers, 75% of the mesh is occupied by duplicated values even though all primes smaller than 217 are handled by other means: a separate division pipeline that tests potential candidates identified by the mesh, using over 12,000 expensive integer division units.

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