Abstract
We saw in Chapter 7 that the minimal norm of a unimodular lattice in R n does not exceed [n/8] + 1. If the minimal norm is equal to this quantity the lattice is called extremal. In this chapter we show that there are unique extremal lattices in dimensions 1, 2, 3, 4, 5, 6, 7, 8, 12, 14, 15, 23, 24, and no other such lattices.
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