This is a particular instance of a more general relation be…
This is a particular instance of a more general relation between lattices and codes. For instance, the extended (8,4)-Hamming code, which arises from the addition of a parity bit, is also related to the E8 lattice.
https://twetch.app/t/a9aa8c9bb36be4bdc57edf21a472e3873ea9ac134f6d9e61b5ff9d525475b9c3