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» On the Homological Dimension of Lattices
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ISSAC
1992
Springer
114views Mathematics» more  ISSAC 1992»
13 years 10 months ago
Parallel Lattice Basis Reduction
Abstract. Lattice basis reduction is an important problem in geometry of numbers with applications in combinatorial optimization, computer algebra, and cryptography. The well-known...
Gilles Villard
AAECC
2002
Springer
132views Algorithms» more  AAECC 2002»
13 years 6 months ago
Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers
It is shown that a q-periodic sequence over the finite field Fq passes an extended version of Marsaglia's lattice test for high dimensions if and only if its linear complexity...
Harald Niederreiter, Arne Winterhof
TIT
1998
90views more  TIT 1998»
13 years 6 months ago
On the Complexity of Decoding Lattices Using the Korkin-Zolotarev Reduced Basis
—Upper and lower bounds are derived for the decoding complexity of a general lattice L. The bounds are in terms of the dimension n and the coding gain of L, and are obtained ba...
Amir H. Banihashemi, Amir K. Khandani
FOCS
2006
IEEE
14 years 23 days ago
Near-Optimal Hashing Algorithms for Approximate Nearest Neighbor in High Dimensions
We present an algorithm for the c-approximate nearest neighbor problem in a d-dimensional Euclidean space, achieving query time of O(dn1/c2 +o(1) ) and space O(dn + n1+1/c2 +o(1) ...
Alexandr Andoni, Piotr Indyk
ISIM
2007
13 years 8 months ago
Using Matrix Decompositions in Formal Concept Analysis
One of the main problems connected with the formal concept analysis and lattice construction is the high complexity of algorithms which plays a significant role when computing all ...
Václav Snásel, Petr Gajdos, Hussam M...