English

On Completely Regular Codes

Combinatorics 2017-03-28 v1

Abstract

This work is a survey on completely regular codes. Known properties, relations with other combinatorial structures and constructions are stated. The existence problem is also discussed and known results for some particular cases are established. In particular, we present a few new results on completely regular codes with covering radius 2 and on extended completely regular codes.

Keywords

Cite

@article{arxiv.1703.08684,
  title  = {On Completely Regular Codes},
  author = {J. Borges and J. Rifà and V. A. Zinoviev},
  journal= {arXiv preprint arXiv:1703.08684},
  year   = {2017}
}