Corpus ID: 235795079

Lattice packings through division algebras

@inproceedings{Gargava2021LatticePT,
  title={Lattice packings through division algebras},
  author={N. Gargava},
  year={2021}
}
In this text, we will show the existence of lattice packings in a sparse family of dimensions. This construction will be a generalization of Venkatesh’s lattice packing result [1]. In our construction, we replace the appearance of the cyclotomic number field with a division algebra over the rational field. This improves the best known lattice packing bounds in many dimensions. 

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