About the Rankin and Bergé-Martinet Constants from a Coding Theory View Point

Frédérique Oggier, Shengwei Liu, Hongwei Liu

The Rankin constant ${\gamma }_{n,l}$ measures the largest volume of the densest sublattice of rank $l$ of a lattice $Λ\in \RR^n$ over all such lattices of rank $n$. The Bergé-Martinet con…