Sciweavers

1695 search results - page 77 / 339
» Linear, Polynomial or Exponential
Sort
View
FOCS
1999
IEEE
15 years 8 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan
DCC
2002
IEEE
15 years 3 months ago
Bounds on the Covering Radius of Linear Codes
Asymptotically bounding the covering radius in terms of the dual distance is a well-studied problem. We will combine the polynomial approach with estimates of the distance distribu...
Alexei E. Ashikhmin, Alexander Barg
131
Voted
TCS
2011
14 years 11 months ago
The three column Bandpass problem is solvable in linear time
The general Bandpass problem is NP-hard and was claimed NP-hard when the number of columns is three. Previously we designed a polynomial time row-stacking algorithm for the three ...
Zhong Li, Guohui Lin
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 6 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
15 years 8 months ago
On the Worst-case Complexity of Integer Gaussian Elimination
Gaussian elimination is the basis for classical algorithms for computing canonical forms of integer matrices. Experimental results have shown that integer Gaussian elimination may...
Xin Gui Fang, George Havas