29 citations · 30 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
Bases of minimal vectors in tame lattices
Mohamed Taoufiq Damir, Guillermo Mantilla-Soler
Motivated by the behavior of the trace pairing over tame cyclic number fields, we introduce the notion of tame lattices. Given an arbitrary non-trivial lattice we con…
Canonical basis twists of ideal lattices from real quadratic number fields
Mohamed Taoufiq Damir, Lenny Fukshansky
Ideal lattices in the plane coming from real quadratic number fields have been investigated by several authors in the recent years. In particular, it has been proved that every suc…
Well-Rounded Twists of Ideal Lattices from Real Quadratic Fields
Mohamed Taoufiq Damir, David Karpuk
We study ideal lattices in coming from real quadratic fields, and give an explicit method for computing all well-rounded twists of any such ideal lattice. We apply t…