16 search results - page 1 / 4 » The Shortest Vector in a Lattice is Hard to Approximate to W... |
FOCS
1998
IEEE
13 years 9 months ago
1998
IEEE
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
FOCS
2004
IEEE
13 years 8 months ago
2004
IEEE
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
STOC
2006
ACM
14 years 5 months ago
2006
ACM
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...
STOC
1999
ACM
13 years 9 months ago
1999
ACM
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
COCO
2004
Springer
13 years 8 months ago
2004
Springer
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...