The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples
Práce se zabývá Gram - Schmidtovým ortogonalizačním procesem a uvádí pojmy s ním související. Dále s...
International audienceWe devise an algorithm, L1 tilde, with the following specifications: It takes ...
Abstract Lattice reduction algorithms have numerous applications in number theory, algebra, as well ...
The LLL algorithm is recognized as one of the most important achievements of twentieth century with ...
This thesis presents the Lenstra, Lenstra, and Lovász algorithm (more commonly the LLL-algorithm), w...
International audienceThe LLL algorithm aims at finding a "reduced" basis of a Euclidean lattice and...
The LLL basis reduction algorithm was the first polynomial-time algorithm to compute a reduced basis...
The 25th birthday of the LLL-algorithm was celebrated in Caen from 29th June to 1st July 2007. The t...
Lattice basis reduction arises from many applications, such as cryptography, communications, GPS and...
The Lenstra-Lenstra-Lovász basis reduction algorithm, also known as LLL algorithm, is an algorithm t...
AbstractAn upper bound is established regarding the average number of iterations of the lattice redu...
We review polynomial time approaches for computing simultaneous integer relations among real numbers...
We modify the concept of LLL-reduction of lattice bases in the sense of Lenstra, Lenstra, Lovasz [LL...
We have shown that only an a priori finite mathematical model can have an exact equivalent in physic...
The LLL algorithm is widely used to solve the integer least squares problems that arise in many engi...
Práce se zabývá Gram - Schmidtovým ortogonalizačním procesem a uvádí pojmy s ním související. Dále s...
International audienceWe devise an algorithm, L1 tilde, with the following specifications: It takes ...
Abstract Lattice reduction algorithms have numerous applications in number theory, algebra, as well ...
The LLL algorithm is recognized as one of the most important achievements of twentieth century with ...
This thesis presents the Lenstra, Lenstra, and Lovász algorithm (more commonly the LLL-algorithm), w...
International audienceThe LLL algorithm aims at finding a "reduced" basis of a Euclidean lattice and...
The LLL basis reduction algorithm was the first polynomial-time algorithm to compute a reduced basis...
The 25th birthday of the LLL-algorithm was celebrated in Caen from 29th June to 1st July 2007. The t...
Lattice basis reduction arises from many applications, such as cryptography, communications, GPS and...
The Lenstra-Lenstra-Lovász basis reduction algorithm, also known as LLL algorithm, is an algorithm t...
AbstractAn upper bound is established regarding the average number of iterations of the lattice redu...
We review polynomial time approaches for computing simultaneous integer relations among real numbers...
We modify the concept of LLL-reduction of lattice bases in the sense of Lenstra, Lenstra, Lovasz [LL...
We have shown that only an a priori finite mathematical model can have an exact equivalent in physic...
The LLL algorithm is widely used to solve the integer least squares problems that arise in many engi...
Práce se zabývá Gram - Schmidtovým ortogonalizačním procesem a uvádí pojmy s ním související. Dále s...
International audienceWe devise an algorithm, L1 tilde, with the following specifications: It takes ...
Abstract Lattice reduction algorithms have numerous applications in number theory, algebra, as well ...