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math.NT2019
Low dimensional strongly perfect lattices IV: The dual strongly perfect lattices of dimension 16
Sihuang Hu, Gabriele Nebe
We classify the dual strongly perfect lattices in dimension 16. There are four pairs of such lattices, the famous Barnes-Wall lattice , the extremal 5-modular lattice $N_{1…
math.NT2018★ 7 cited
Strongly perfect lattices sandwiched between Barnes-Wall lattices
Sihuang Hu, Gabriele Nebe
New series of -dimensional universally strongly perfect lattices and are constructed with $$2BW_{2m} ^{\#} \subseteq Γ_J \subseteq BW_{2m} \subseteq Λ_I \subs…