The Hamming(7,4) code is closely related to the E7 lattice …

Twetch · January 17, 2020

The Hamming(7,4) code is closely related to the E7 lattice and, in fact, can be used to construct it, or more precisely, its dual lattice E7∗ (a similar construction for E7 uses the dual code [7,3,4]2).
https://twetch.app/t/21f9b3796d04e3e3c9424adc1e25ac3d8505b94d32106f659d77d683285b7e06