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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© 1999 Springer Science+Business Media New York
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Conway, J.H., Odlyzko, A.M., Sloane, N.J.A. (1999). Enumeration of Extremal Self-Dual Lattices. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6568-7_19
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DOI: https://doi.org/10.1007/978-1-4757-6568-7_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3134-4
Online ISBN: 978-1-4757-6568-7
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