2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64618The highest possible minimal norm of a unimodular lattice is determined in dimensions n <= 33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8*10^20 in dimension 33). Unimodular lattices with no roots exist if and only if n >= 23, n not = 25.8 pagesCombinatorics11H31 (11H06)text