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» Bounded Query Functions with Limited Output Bits
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79
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STACS
2005
Springer
15 years 5 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
CORR
2008
Springer
112views Education» more  CORR 2008»
14 years 11 months ago
Compact Labelings For Efficient First-Order Model-Checking
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for check...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
COMPGEOM
2009
ACM
15 years 6 months ago
Cache-oblivious range reporting with optimal queries requires superlinear space
We consider a number of range reporting problems in two and three dimensions and prove lower bounds on the amount of space used by any cache-oblivious data structure for these pro...
Peyman Afshani, Chris H. Hamilton, Norbert Zeh
108
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WAIFI
2007
Springer
175views Mathematics» more  WAIFI 2007»
15 years 5 months ago
Attacking the Filter Generator over GF (2 m )
We consider the filter generator over GF(2m ) consisting of a linear feedback shift register of length k that generates a maximal length linear sequence of period 2mk − 1 over G...
Sondre Rønjom, Tor Helleseth
CORR
2006
Springer
100views Education» more  CORR 2006»
14 years 11 months ago
How to beat the sphere-packing bound with feedback
The sphere-packing bound Esp(R) bounds the reliability function for fixed-length block-codes. For symmetric channels, it remains a valid bound even when strictly causal noiseless ...
Anant Sahai