[Oberseminar] Oberseminar Kryptographie und Computeralgebra TU-Darmstadt
Oberseminar-Ankuendigungen
osem@cdc.informatik.tu-darmstadt.de
Tue, 10 Dec 2002 19:01:11 +0100 (CET)
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Christoph Ludwig=20
Darmstadt University of Technology
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Tuesday, 17 December 2002, 16.15 - 17.15, S1/15-29
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Schnorr's sampling algorithms for solving lattice problems
Lattice reduction has proven to be a powerful tool in cryptanalysis.=20
The ability to find very short vectors in high dimensional lattices
implies that, e.g., RSA and NTRU can be broken. For several years, the
renowned LLL algorithm and its heuristic improvements have been the
methods of choice for lattice reduction.
Recently, Schnorr published new algorithms for lattice reduction based
on sampling short vectors. The basic variant reduces the approximation
factor under reasonable assumptions to its fourth root compared with
previously available LLL-type algorithms. This talk will present
Schnorr's sampling algorithms and outline a rationale for the
algorithm's approximation and time bounds. Finally, the talk will put
some ideas under consideration how to combine Grover's quantum search
algorithm with Schnorr sampling, yielding the first quantum algorithm
for lattice reduction that runs asymptotically faster than classical
algorithms.=20
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Organizer: Prof. Dr. J. Buchmann and Dr. T. Takagi, Junior Professor
Department of Computer Science
Cryptography and Computer Algebra
Darmstadt University of Technology
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Location: S1/15-29, Alexanderstra=DFe 10, Darmstadt
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Time: Tuesdays 16.15 - 17.15
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Further talks in 2002/2003:
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07.01.03 Ralf-Philip Weinmann:
Algebraic representations for Rijndael and their=20
implications for its security =20
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14.01.03 Dr. Scheuermann, Fraunhofer SIT:
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21.01.03 Bodo M=F6ller:
Provably Secure Public-Key Encryption for Length-Preserving
Chaumian Mixes
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28.01.03 Sven Wohlgemuth, Uni Freiburg:
Benutzbarkeitsevaluierung von Sicherheitsanwendungen
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04.02.03 Luis Carlos Coronado Garcia:
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11.02.03 Dr. Kim Nguyen, Philips Semiconductors GmbH:
Efficient implementation of curve based cryptography on
smart cards
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For further information please contact:
osem@cdc.informatik.tu-darmstadt.de
Or visit our web sites:
http://www.informatik.tu-darmstadt.de/TI/