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Oct 9, 2015 at 1:34 comment added Eugeniu Plamadeala From Minkowski's Convex Body theorem it follows that a lattice can have Eucliean norm-squared of 4 or greater only in dimensions 12 or higher. So there is at least a lower bound for $n$.
Sep 24, 2015 at 0:13 history asked Eugeniu Plamadeala CC BY-SA 3.0