Add to ORKGIn this paper, we give a definition of an optimally reduced basis for a lattice in the sense that an optimally reduced basis is a shortest basis for the lattice. Then we present an algorithm for computing an approximation of an optimally reduced basis for a lattice using a novel unimodular transformation. To compare lattice bases, we propose a quantitative measure of the degree of the linear independence of lattice basis vectors
Recently Aardal et al. (2000) have successfully solved some small, difficult, equality-constrained i...
The well known L³-reduction algorithm of Lov'asz transforms a given integer lattice basis b1 ; ...
International audienceWe present a lattice algorithm specifically designed for some classical applic...
Let B be a basis of a Euclidean lattice, and B ̃ an approxima-tion thereof. We give a sufficient con...
International audienceAs a typical application, the Lenstra-Lenstra-Lovász lattice basis reduction a...
A polynomial time algorithm is presented that given a rational approximation to a lattice in real n-...
Abstract. In this paper we introduce several new heuristics as to speed up known lattice basis reduc...
Let F ( x ) be a convex function defined in R n , which is symmetric about the origin and homogeneous...
The LLL basis reduction algorithm was the first polynomial-time algorithm to compute a reduced basis...
The LLL algorithm is recognized as one of the most important achievements of twentieth century with ...
The Lenstra-Lenstra-Lovász basis reduction algorithm, also known as LLL algorithm, is an algorithm t...
Fastest algorithms and implementations for LLL basis reduction are highly hybrid symbolic-numeric. A...
Lattice reduction algorithms are notoriously hard to predict, both in terms of running time and outp...
We present an algorithm for lattice basis reduction in function fields. In contrast to integer latti...
AbstractUp to now, the problem of constructing Minkowski reduced lattice bases has been solved only ...
Recently Aardal et al. (2000) have successfully solved some small, difficult, equality-constrained i...
The well known L³-reduction algorithm of Lov'asz transforms a given integer lattice basis b1 ; ...
International audienceWe present a lattice algorithm specifically designed for some classical applic...
Let B be a basis of a Euclidean lattice, and B ̃ an approxima-tion thereof. We give a sufficient con...
International audienceAs a typical application, the Lenstra-Lenstra-Lovász lattice basis reduction a...
A polynomial time algorithm is presented that given a rational approximation to a lattice in real n-...
Abstract. In this paper we introduce several new heuristics as to speed up known lattice basis reduc...
Let F ( x ) be a convex function defined in R n , which is symmetric about the origin and homogeneous...
The LLL basis reduction algorithm was the first polynomial-time algorithm to compute a reduced basis...
The LLL algorithm is recognized as one of the most important achievements of twentieth century with ...
The Lenstra-Lenstra-Lovász basis reduction algorithm, also known as LLL algorithm, is an algorithm t...
Fastest algorithms and implementations for LLL basis reduction are highly hybrid symbolic-numeric. A...
Lattice reduction algorithms are notoriously hard to predict, both in terms of running time and outp...
We present an algorithm for lattice basis reduction in function fields. In contrast to integer latti...
AbstractUp to now, the problem of constructing Minkowski reduced lattice bases has been solved only ...
Recently Aardal et al. (2000) have successfully solved some small, difficult, equality-constrained i...
The well known L³-reduction algorithm of Lov'asz transforms a given integer lattice basis b1 ; ...
International audienceWe present a lattice algorithm specifically designed for some classical applic...