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Weight Distributions of Hamming Codes (0710.1467v1)
Published 8 Oct 2007 in cs.IT, math.IT, and math.NT
Abstract: We derive a recursive formula determing the weight distribution of the [n=(qm-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.