258 citations · 705 across the 68 of their papers we have counts for
4 papers · 1 filter
Euclidean lattices: theory and applications
Lenny Fukshansky, Camilla Hollanti
In this editorial survey we introduce the special issue of the journal Communications in Mathematics on the topic in the title of the article. Our main goal is to briefly outline s…
Even Unimodular Lattices from Quaternion Algebras
Laia Amorós, M. Taoufiq Damir, Camilla Hollanti
We review a lattice construction arising from quaternion algebras over number fields and use it to obtain some known extremal and densest lattices in dimensions 8 and 16. The benef…
Dense generic well-rounded lattices
Camilla Hollanti, Guillermo Mantilla-Soler, Niklas Miller
It is well-known that the densest lattice sphere packings also typically have large kissing numbers. The sphere packing density maximization problem is known to have a solution amo…
Natural orders for asymmetric space--time coding: minimizing the discriminant
Amaro Barreal, Capi Corrales Rodrigáñez, Camilla Hollanti
Algebraic space--time coding --- a powerful technique developed in the context of multiple-input multiple-output (MIMO) wireless communications --- has profited tremendously from t…