engleski

On Classifying Minkowskian Sublattices

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

Euclidean lattices; quadratic forms; linear codes

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