Codes, lattices, and Steiner systems.
Computing the Ehrhart Polynomial of a Convex Lattice Polytope.
Concernant la relation de distribution satisfaite par la fonction ...associé à un réseau complexe.
Configurations of rank- extremal even unimodular lattices ()
We show that if is an extremal even unimodular lattice of rank with , then is generated by its vectors of norms and . Our result is an extension of Ozeki’s result for the case .
Continuity Properties of Voronoi Domains.
Corrigenda: ‘On systems of linear inequalities’
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Covering space with convex bodies
Cyclic overlattices, I
Cyclic overlattices, II (Diophantine approximation and sums of roots of unity)
Cyclotomic modular lattices
Several interesting lattices can be realised as ideal lattices over cyclotomic fields : some of the root lattices, the Coxeter-Todd lattice, the Leech lattice, etc. Many of these are modular in the sense of Quebbemann. The aim of the present paper is to determine the cyclotomic fields over which there exists a modular ideal lattice. We then study an especially simple class of lattices, the ideal lattices of trace type. The paper gives a complete list of modular ideal lattices of trace type defined...