Affiliation:
1. Graduate School of Mathematics, Kyushu University, Fukuoka, Japan
Abstract
A set of vectors all of which have a constant (non-zero) norm value in a Euclidean lattice is called a shell of the lattice. Venkov classified strongly perfect lattices of minimum 3 (Réseaux et "designs" sphérique, 2001), whose minimal shell is a spherical 5-design. This note considers the classification of integral lattices whose shells of norm 3 are 5-designs.
Publisher
World Scientific Pub Co Pte Lt