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arXiv · 0710.1467

Weight Distributions of Hamming Codes

Dae San Kim
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Abstract

We 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.

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Dae San Kim. 2007-10-08. Weight Distributions of Hamming Codes. https://arxiv.org/abs/0710.1467

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