2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139526We derive a recursive formula determing the weight distribution of the [n=(q^m-1)/(q-1), n-m, 3] Hamming code H(m,q), when (m, q-1)=1. Here q is a prime power. The proof is based on Moisio's idea of using Pless power moment identity together with exponential sum techniques.Information TheoryNumber Theory94B05, 11T71, 11T23text