English

Graphs related to $2$-dimensional simplex codes

Combinatorics 2019-08-13 v1

Abstract

We give a complete description of the distance relation on the graph of 44-ary simplex codes of dimension 22. This is a connected graph of diameter 33. For every vertex we determine the sets of all vertices at distance i{1,2,3}i\in\{1,2,3\} and describe their symmetries.

Keywords

Cite

@article{arxiv.1908.03703,
  title  = {Graphs related to $2$-dimensional simplex codes},
  author = {Mariusz Kwiatkowski and Mark Pankov},
  journal= {arXiv preprint arXiv:1908.03703},
  year   = {2019}
}
R2 v1 2026-06-23T10:44:15.269Z