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math.NT2021★ 2 cited
Dense packings via lifts of codes to division rings
Nihar Gargava, Vlad Serban
We obtain algorithmically effective versions of the dense lattice sphere packings constructed from orders in -division rings by the first author. The lattices in questi…
math.NT2021
Lattice packings through division algebras
Nihar Prakash Gargava
In this article, we will show the existence of lattice packings in a sparse family of dimensions. This construction will be a generalisation of Venkatesh's lattice packing result.…