The lattice
E8 and the Gaussian code
Let [formula in source] be the Construction-A lattice of [formula in source] CS99, with the standard inner product [formula in source] of [formula in source] . Then [formula in source] , and since [formula in source] is doubly even, writing [formula in source] with [formula in source] a codeword lift gives so every nonzero [formula in source] has [formula in source] : the minimum of [formula in source] is [formula in
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/note_e8_gaussian_code/sections/001-section-the-three-objects-label-sec-setup.tex · lines 74 to 89
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