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arXiv · 1111.0772

Spherical designs and lattices

Elisabeth Nossek
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Abstract

In this article we prove that integral lattices with minimum <= 7 (or <= 9) whose set of minimal vectors form spherical 9-designs (or 11-designs respectively) are extremal, even and unimodular. We furthermore show that there does not exist an integral lattice with minimum <=11 which yields a 13-design.

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Elisabeth Nossek. 2013-06-19. Spherical designs and lattices. https://doi.org/10.1007/s13366-013-0155-5

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