10 papers
Improvements in closest point search based on dual HKZ-bases
Urs Wagner, Gerard Maze
In this paper we review the technique to solve the CVP based on dual HKZ-bases by J. Bloemer. The technique is based on the transference theorems given by Banaszczyk which imply so…
Analysis of a Key Distribution Scheme in Secure Multicasting
Maze Gerard
This article presents an analysis of the secure key broadcasting scheme proposed by Wu, Ruan, Lai and Tseng. The study of the parameters of the system is based on a connection with…
Natural Density Distribution of Hermite Normal Forms of Integer Matrices
Gerard Maze
The Hermite Normal Form (HNF) is a canonical representation of matrices over any principal ideal domain. Over the integers, the distribution of the HNFs of randomly looking matrice…
Natural Density of Rectangular Unimodular Integer Matrices
G. Maze, J. Rosenthal, U. Wagner
In this paper, we compute the natural density of the set of k x n integer matrices that can be extended to an invertible n x n matrix over the integers. As a corollary, we find the…
Some Inequalities Related to the Seysen Measure of a Lattice
Gerard Maze
Given a lattice , a basis of together with its dual , the orthogonality measure of was introduced by M. Seysen in 1993. This…
A Note on the Weighted Harmonic-Geometric-Arithmetic Means Inequalities
Gerard Maze, Urs Wagner
In this note, we derive non trivial sharp bounds related to the weighted harmonic-geometric-arithmetic means inequalities, when two out of the three terms are known. As application…