The lattices \(BW_{32}\) and \(U_{32}\) are equivalent. (Les réseaux \(BW_{32}\) et \(U_{32}\) sont équivalents.) (French) Zbl 0818.11027

Loyer, Pierre; Solé, Patrick

J. Théor. Nombres Bordx. 6, No. 2, 359-362 (1994).

The authors show that a certain 32-dimensional even unimodular lattice considered by J. Martinet is isometric to the well-known Barnes-Wall lattice of this dimension.

Reviewer: H.G.Quebbemann (Oldenburg)

MSC:

11H31

Lattice packing and covering (number-theoretic aspects)

Keywords:

even unimodular lattice; Barnes-Wall lattice

References:

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