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JCT
2007
134views more  JCT 2007»
13 years 4 months ago
Improved Delsarte bounds for spherical codes in small dimensions
ABSTRACT. We present an extension of the Delsarte linear programming method for spherical codes. For several dimensions it yields improved upper bounds including some new bounds on...
Florian Pfender
SODA
2008
ACM
144views Algorithms» more  SODA 2008»
13 years 6 months ago
Fast dimension reduction using Rademacher series on dual BCH codes
The Fast Johnson-Lindenstrauss Transform (FJLT) was recently discovered by Ailon and Chazelle as a novel technique for performing fast dimension reduction with small distortion fr...
Nir Ailon, Edo Liberty
STOC
2009
ACM
119views Algorithms» more  STOC 2009»
14 years 5 months ago
Explicit construction of a small epsilon-net for linear threshold functions
We give explicit constructions of epsilon nets for linear threshold functions on the binary cube and on the unit sphere. The size of the constructed nets is polynomial in the dime...
Yuval Rabani, Amir Shpilka
EUROCRYPT
2005
Springer
13 years 10 months ago
Approximate Quantum Error-Correcting Codes and Secret Sharing Schemes
It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding ...
Claude Crépeau, Daniel Gottesman, Adam Smit...