2 papers
math.RA2025
Well-rounded ideal lattices from totally definite quaternion algebras
Yuan Xiang Chew, Frédérique Oggier
We study well-rounded ideal lattices from totally definite quaternion algebras. We prove existence and classification results, and illustrate our methods with examples.
cs.IT2025
About the Rankin and Bergé-Martinet Constants from a Coding Theory View Point
Frédérique Oggier, Shengwei Liu, Hongwei Liu
The Rankin constant measures the largest volume of the densest sublattice of rank of a lattice $Î\in \RR^n$ over all such lattices of rank . The Bergé-Martinet…