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LATIN
2010
Springer
13 years 11 months ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin
CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
13 years 11 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron
GLOBECOM
2007
IEEE
13 years 11 months ago
Reduced Complexity Sphere Decoding for Square QAM via a New Lattice Representation
— Sphere decoding (SD) is a low complexity maximum likelihood (ML) detection algorithm, which has been adapted for different linear channels in digital communications. The comple...
Luay Azzam, Ender Ayanoglu
ICCAD
2003
IEEE
161views Hardware» more  ICCAD 2003»
14 years 1 months ago
A General S-Domain Hierarchical Network Reduction Algorithm
This paper presents an efficient method to reduce complexities of a linear network in s-domain. The new method works on circuit matrices directly and reduces the circuit complexi...
Sheldon X.-D. Tan
FOCS
2004
IEEE
13 years 8 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
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 ...
Subhash Khot