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Weight Distributions of Hamming Codes (II)

Information Theory 2007-10-09 v1 math.IT Number Theory

Abstract

In a previous paper, we derived a recursive formula determining the weight distributions of the [n=(q^m-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.

Cite

@article{arxiv.0710.1469,
  title  = {Weight Distributions of Hamming Codes (II)},
  author = {Dae San Kim},
  journal= {arXiv preprint arXiv:0710.1469},
  year   = {2007}
}
R2 v1 2026-06-21T09:28:06.284Z