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Weight Distributions of Hamming Codes (II)

Published 8 Oct 2007 in cs.IT, math.IT, and math.NT | (0710.1469v1)

Abstract: In a previous paper, we derived a recursive formula determining the weight distributions of the [n=(qm-1)/(q-1)] Hamming code H(m,q), when (m,q-1)=1. Here q is a prime power. We note here that the formula actually holds for any positive integer m and any prime power q, without the restriction (m, q-1)=1.

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