E8 Lattice Optimality

In course

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Description

This lecture explores the construction of the E8 lattice from the Heming code, a subspace over a finite field, and its optimality as an optimal sphere packing in Euclidean space. The instructor discusses the concept of positive definite functions, linear programming, and the uniqueness of the E8 lattice as the densest sphere packing in dimension eight.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_crns6oq0

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