We generalize the concept of block reduction for lattice bases from l2-norm to arbitrary norms. This extends the results of Schnorr. We give algorithms for block reduction and apply the resulting enumeration concept to solve subset sum problems. The deterministic algorithm solves all subset sum problems. For up to 66 weights it needs in average less then two hours on a HP 715/50 under HP-UX 9.05
Recently Aardal et al. (2000) have successfully solved some small, difficult, equality-constrained i...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
The goal of blockmodeling is to reduce a large, potentially incoherent network to a smaller comprehe...
We report on improved practical algorithms for lattice basis reduction. We propose a practical float...
This thesis investigates a new approach to lattice basis reduction suggested by M. Seysen. Seysen'...
. The general subset sum problem is NP-complete. However, there are two algorithms, one due to Brick...
When analyzing lattice based cryptosystems, we often need to solve the Shortest Vector Problem (SVP)...
The general subset sum problem is NP-complete. However, there are two algorithms, one due to Brickel...
We introduce algorithms for lattice basis reduction that are improvements of the famous L3-algorithm...
We introduce algorithms for lattice basis reduction that are improvements of the famous L 3 -algor...
Wir verallgemeinern die Reduktionstheorie von Gitterbasen für beliebige Normen. Dabei zeigen wir neu...
The well known L 3 -reduction algorithm of Lov'asz transforms a given integer lattice basis b...
We show that several recent “positive ” results for lattice problems in the `2 norm also hold in `p ...
Preprocessing is applied to certain lattice reduction algorithms such as block Korkine–Zolotarev (BK...
At EUROCRYPT '94 G. Orton proposed a public key cryptosystem based on dense compact knapsacks. ...
Recently Aardal et al. (2000) have successfully solved some small, difficult, equality-constrained i...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
The goal of blockmodeling is to reduce a large, potentially incoherent network to a smaller comprehe...
We report on improved practical algorithms for lattice basis reduction. We propose a practical float...
This thesis investigates a new approach to lattice basis reduction suggested by M. Seysen. Seysen'...
. The general subset sum problem is NP-complete. However, there are two algorithms, one due to Brick...
When analyzing lattice based cryptosystems, we often need to solve the Shortest Vector Problem (SVP)...
The general subset sum problem is NP-complete. However, there are two algorithms, one due to Brickel...
We introduce algorithms for lattice basis reduction that are improvements of the famous L3-algorithm...
We introduce algorithms for lattice basis reduction that are improvements of the famous L 3 -algor...
Wir verallgemeinern die Reduktionstheorie von Gitterbasen für beliebige Normen. Dabei zeigen wir neu...
The well known L 3 -reduction algorithm of Lov'asz transforms a given integer lattice basis b...
We show that several recent “positive ” results for lattice problems in the `2 norm also hold in `p ...
Preprocessing is applied to certain lattice reduction algorithms such as block Korkine–Zolotarev (BK...
At EUROCRYPT '94 G. Orton proposed a public key cryptosystem based on dense compact knapsacks. ...
Recently Aardal et al. (2000) have successfully solved some small, difficult, equality-constrained i...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
The goal of blockmodeling is to reduce a large, potentially incoherent network to a smaller comprehe...