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IPCO
1996
104views Optimization» more  IPCO 1996»
13 years 6 months ago
An Optimal, Stable Continued Fraction Algorithm
We analyse a continued fraction algorithm (abbreviated CFA) for arbitrary dimension n showing that it produces simultaneous diophantine approximations which are up to the factor 2(...
Carsten Rössner, Claus-Peter Schnorr
ICALP
2007
Springer
13 years 11 months ago
Reconciling Data Compression and Kolmogorov Complexity
While data compression and Kolmogorov complexity are both about effective coding of words, the two settings differ in the following respect. A compression algorithm or compressor...
Laurent Bienvenu, Wolfgang Merkle
CRYPTO
2011
Springer
191views Cryptology» more  CRYPTO 2011»
12 years 4 months ago
Analyzing Blockwise Lattice Algorithms Using Dynamical Systems
Strong lattice reduction is the key element for most attacks against lattice-based cryptosystems. Between the strongest but impractical HKZ reduction and the weak but fast LLL redu...
Guillaume Hanrot, Xavier Pujol, Damien Stehl&eacut...
IACR
2011
155views more  IACR 2011»
12 years 4 months ago
Terminating BKZ
Strong lattice reduction is the key element for most attacks against lattice-based cryptosystems. Between the strongest but impractical HKZ reduction and the weak but fast LLL redu...
Guillaume Hanrot, Xavier Pujol, Damien Stehl&eacut...