An even unimodular 72-dimensional lattice of minimum 8
Abstract
An even unimodular 72-dimensional lattice having minimum 8 is constructed as a tensor product of the Barnes lattice and the Leech lattice over the ring of integers in the imaginary quadratic number field with discriminant -7. The automorphism group of contains the absolutely irreducible rational matrix group (2(7) × 2(25)) : 2.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.