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arxiv: 0712.1939 · v1 · submitted 2007-12-12 · 🧮 math.NT

Designs, groups and lattices

classification 🧮 math.NT
keywords designslatticesgrassmannianbarnes-wallconnectionconstantcontaincontained
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We study the Grassmannian 4-designs contained in lattices, in connection with the local property of the Rankin constant. We prove that the sequence of Barnes-Wall lattices contain Grassmannian 6-designs.

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