On classifying Minkowskian sublattices

Let $Λ$ be a lattice in an $n$-dimensional Euclidean space $E$ and let $Λ'$ be a Minkowskian sublattice of $Λ$, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of $Λ$. We extend the classification of possible $\Z/d\Z$-codes of the quotients $Λ/Λ'$ to dimension~$9$, where $d\Z$ is the annihilator of $Λ/Λ'$.

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