Weight Distributions of Hamming Codes

Details Weight Distributions of Hamming Codes Weight Distributions of Hamming Codes

2007-10-08

arxiv.org/abs/0710.1467v1

Computer Science

Information Theory

Scientific paper

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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