98 search results - page 3 / 20 » Hardness of Approximating the Shortest Vector Problem in Lat... |
COCO
2004
Springer
13 years 9 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...
STOC
2007
ACM
14 years 6 months ago
2007
ACM
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
FOCS
2004
IEEE
13 years 9 months ago
2004
IEEE
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
IACR
2011
12 years 5 months ago
2011
Given a lattice L with the i-th successive minimum λi, its i-th gap λi λ1 often provides useful information for analyzing the security of cryptographic schemes related to L. The...
STOC
2005
ACM
14 years 6 months ago
2005
ACM
We present a variant of the Ajtai-Dwork public-key cryptosystem where the size of the public-key is only O(n log n) bits and the encrypted text/clear text ratio is also O(n log n)...