… In Section 4, we analyze the experimental running time of lattice reduction algorithms, and
point out several unexpected phenomenons. In Section 5, we compare our predictions with …

… We give a tutorial-style introduction to lattices and lattice reduction algorithms, discuss … a
lattice basis that are exploited by lattice reduction algorithms (see the section “Lattice Reduction …

… Recently, lattice reduction (LR) techniques have been applied … Most existing LR algorithms
are designed to improve the … element-based lattice reduction (ELR) algorithms that reduce the …

… , by exploiting the lattice structure of wireless multiple-antennas systems, lattice reduction
is … commonly used and practical lattice reduction algorithm is the LLL reduction algorithm [12]. …

… The aim of this paper is to explain what can be achieved by lattice reduction algorithms,
even without understanding the actual mechanisms involved. Two examples are given. One is …

… The goal of lattice reduction is to find useful representations of lattices. A major … Lovász’s
reduction algorithm, also known as LLL or L 3 . Lattice reduction algorithms have since proved …

… On the one hand, lattice reduction algorithms are widely used in publickey cryptanalysis,
for … that certain lattice problems are hard. In this talk, we survey lattice reduction algorithms, …

… algorithm for complex lattice reduction. The resultant complex LLL algorithm was applied to
complex-lattice-… the complex LLL algorithm is nearly half of that of the traditional algorithm. In …

… The aim of this paper is a reduction algorithm for a basis b1,b2, b3 of a 3-dimensional lattice
… In the fourth section we derive another reduction algorithm, and in the fifth section we finish …

… famous lattice basis reduction algorithm of Lovász transforms a given integer lattice basis b
1 , …, b n ϵ Z n into a reduced … The new algorithm simulates the Lovász algorithm through …