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arXiv · 0811.2653

Spherical designs from norm-3 shell of integral lattices

Junichi Shigezumi
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Abstract

A set of vectors all of which have a constant (non-zero) norm value in an 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.

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Junichi Shigezumi. 2009-01-14. Spherical designs from norm-3 shell of integral lattices. https://doi.org/10.1142/s1793557109000200

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