Abstract. Lattice basis reduction is an important problem in geometry of numbers with applications in combinatorial optimization, computer algebra, and cryptography. The well-known...
Abstract The LLL algorithm aims at finding a “reduced” basis of a Euclidean lattice. The LLL algorithm plays a primary role in many areas of mathematics and computer science. ...
—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...
This paper considers the problem of integer least squares, where the least squares solution is an integer vector, whereas the coefficient matrix is real. In particular, we discuss...
In this paper we introduce an improved variant of the LLL algorithm. Using the Gram matrix to avoid expensive correction steps necessary in the Schnorr-Euchner algorithm and introd...