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» A 3-Dimensional Lattice Reduction Algorithm
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ANTS
2006
Springer
91views Algorithms» more  ANTS 2006»
13 years 11 months ago
Practical Lattice Basis Sampling Reduction
We propose a practical sampling reduction algorithm for lattice bases based on work by Schnorr [1] as well as two even more effective generalizations. We report the empirical behav...
Johannes Buchmann, Christoph Ludwig
ICC
2009
IEEE
145views Communications» more  ICC 2009»
14 years 2 months ago
Rapid Prototyping of Clarkson's Lattice Reduction for MIMO Detection
—This paper presents the field-programmable gate array (FPGA) implementation of a variant of the LenstraLenstra-Lov´asz (LLL) lattice reduction (LR) algorithm, known as the Cla...
Luis G. Barbero, David L. Milliner, Tharmalingam R...
CRYPTO
2006
Springer
119views Cryptology» more  CRYPTO 2006»
13 years 11 months ago
Rankin's Constant and Blockwise Lattice Reduction
Abstract Lattice reduction is a hard problem of interest to both publickey cryptography and cryptanalysis. Despite its importance, extremely few algorithms are known. The best algo...
Nicolas Gama, Nick Howgrave-Graham, Henrik Koy, Ph...
IACR
2011
206views more  IACR 2011»
12 years 7 months ago
Shortest Lattice Vectors in the Presence of Gaps
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...
Mingjie Liu, Xiaoyun Wang, Guangwu Xu, Xuexin Zhen...
TCOM
2010
112views more  TCOM 2010»
13 years 6 months ago
On further reduction of complexity in tree pruning based sphere search
Abstract—In this letter, we propose an extension of the probabilistic tree pruning sphere decoding (PTP-SD) algorithm that provides further improvement of the computational compl...
Byonghyo Shim, Insung Kang