Another diametric theorem in Hamming spaces: optimal group anticodes

@article{Ahlswede2006AnotherDT,
  title={Another diametric theorem in Hamming spaces: optimal group anticodes},
  author={Rudolf Ahlswede},
  journal={2006 IEEE Information Theory Workshop - ITW '06 Punta del Este},
  year={2006},
  pages={212-216}
}
  • Rudolf Ahlswede
  • Published 2006 in
    2006 IEEE Information Theory Workshop - ITW '06…
In the last century together with Levon Khachatrian we established a diametric theorem in Hamming space H<sup>n</sup>=(X<sup>n</sup>,d<inf>H</inf>). Now we contribute a diametric theorem for such spaces, if they are endowed with the group structure G<sup>n</sup>=<sup>n</sup>Σ<inf>1</inf>G, the direct sum of a group G on X={0,1,...,q-1}, and as candidates are considered subgroups of G<sup>n</sup>. For all finite groups G, every permitted distance d, and all n≥d subgroups of G<sup>n</sup>with… CONTINUE READING