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FOCS
2005
IEEE
13 years 11 months ago
The Closest Substring problem with small distances
In the CLOSEST SUBSTRING problem k strings s1, ..., sk are given, and the task is to find a string s of length L such that each string si has a consecutive substring of length L ...
Dániel Marx
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
13 years 9 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
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...
Johannes Blömer, Jean-Pierre Seifert
FOCS
1998
IEEE
13 years 9 months ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
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...
Daniele Micciancio
IJACT
2008
158views more  IJACT 2008»
13 years 5 months ago
Efficient lattice-based signature scheme
: In Crypto 1997, Goldreich, Goldwasser and Halevi (GGH) proposed a lattice analogue of McEliece public key cryptosystem, in which security is related to the hardness of approximat...
Thomas Plantard, Willy Susilo, Khin Than Win, Qion...
CORR
2011
Springer
176views Education» more  CORR 2011»
13 years 9 days ago
Decoding by Embedding: Correct Decoding Radius and DMT Optimality
—In lattice-coded multiple-input multiple-output (MIMO) systems, optimal decoding amounts to solving the closest vector problem (CVP). Embedding is a powerful technique for the a...
Cong Ling, Shuiyin Liu, Laura Luzzi, Damien Stehl&...