By Adi Shamir, Eran Tromer (auth.), Dan Boneh (eds.)
Crypto 2003, the twenty third Annual Crypto convention, was once backed by way of the Int- nationwide organization for Cryptologic study (IACR) in cooperation with the IEEE computing device Society Technical Committee on protection 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 types of the 34 submissions that have been provided 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 examine within the cryptographic group around the globe and canopy all components of cryptography. Many top of the range works couldn't be approved. those works would definitely be released somewhere else. 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 normal rump consultation, chaired through Stuart Haber, that includes brief, casual talks on late-breaking examine information. Assembling the convention application calls for assistance from many many folks. To all those that pitched in, i'm perpetually on your debt. i want to ?rst thank the various researchers from around the world who submitted their paintings to this convention. with out them, Crypto couldn't exist. I thank Greg Rose, the overall chair, for protecting me from innumerable logistical complications, and displaying nice generosity in aiding my e?orts.
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Extra resources for Advances in Cryptology - CRYPTO 2003: 23rd Annual International Cryptology Conference, Santa Barbara, California, USA, August 17-21, 2003. Proceedings
But if k is known, we can compute p + q = N + 1 − k −1 mod e. On the other 1 hand e ≥ N 2 and therefore we get p + q over the integers and not modulo e. This leads to the factorization of N . 1 Hence, we assume in the following that N − 2 d˜ ≥ N δ . In this case, we can 1 ˜ by 4N α− 2 . bound |k − k| ˜ Then, we can reformulate Now, let us deﬁne d0 = d − d˜ and k0 = k − k. equation (1) as e(d˜ + d0 ) − 1 = (k˜ + k0 )φ(N ). This can also be written as ed0 + (k˜ + k0 )(p + q − 1) + ed˜ − 1 = (k˜ + k0 )N.
Moreover, this assumes that the sums of log pi contributions from the progressions with pi > 217 are suﬃciently correlated with smoothness under all progressions; it is unclear whether this assumption scales. TWIRL’s handling of largish primes using DRAM storage greatly reduces the size of the circuit when implemented using current VLSI technology (90 DRAM bits vs. about 2500 transistors in ). If the device must span multiple wafers, the inter-wafer bandwidth requirements of our design are much lower than that of  (as long as the bus is narrower than a wafer), and there is no algorithmic diﬃculty in handling the long latency of cross-wafer lines.
Shamir and E. Tromer Mesh-based sieving. 5+o(1) (like TWIRL’s). Geiselmann and Steinwandt  follow this approach and give a detailed design for a mesh-based sieving circuit. 25 ous sieving devices, both  and TWIRL achieve a speedup factor of Θ( However, there are signiﬁcant diﬀerences in scalability and cost: TWIRL is 1,600 times more eﬃcient for 512-bit composites, and ever more so for bigger composites or when using the cascaded sieves variant (cf. 6). One reason is as follows. The mesh-based sorting of  is eﬀective in terms of latency, which is why it was appropriate for the Bernstein’s matrix-step device  where the input to each invocation depended on the output of the previous one.