Abstract. Integer lattices have numerous important applications, but some of them may have been overlooked because of the common assumption that a.

Integer lattices have numerous important applications, but some of them may have been overlooked because of the common assumption that a lattice basis is ...

A NATURAL LATTICE BASIS PROBLEM WITH. APPLICATIONS. JOHN D. HOBBY. AbstRact. Integer lattices have numerous important applications, but some.

All issues : 1943 – Present. A natural lattice basis problem with applications. HTML articles powered by AMS MathViewer. by John D. Hobby PDF: Math. Comp. 67 ...

John D. Hobby: A natural lattice basis problem with applications. Math. Comput. 67(223): 1149-1161 (1998). a service of Schloss Dagstuhl - Leibniz Center ...

Jan 16, 2014 · The goal of lattice basis reduction is to transform a given lattice basis into a “nice” lattice basis consisting of vectors that are short ...

To discuss such computational issues, let us define the most basic computational problem involving lattices: the shortest vector problem, or SVP for short.

Another way of reading the above definition is that any lattice can be obtained by applying some nonsingular linear transformation to the integer lattice Zn.

Jul 8, 2019 · We present an algorithm which extracts such a short basis within the same time as an HNF, by reduction to HNF. We also present an HNF-less algorithm.

Lattices naturally occur in many settings, like crystallography, communication theory, (algebraic) number theory, etc. They have many applications in computer ...