English

On the classification of completely regular codes with covering radius two and antipodal dual

Information Theory 2023-02-22 v1 math.IT

Abstract

We classify all linear completely regular codes which have covering radius ρ=2\rho = 2 and whose dual are antipodal. For this, we firstly show several properties of such dual codes, which are two-weight codes.

Keywords

Cite

@article{arxiv.2302.10556,
  title  = {On the classification of completely regular codes with covering radius two and antipodal dual},
  author = {J. Borges and D. V. Zinoviev and V. A. Zinoviev},
  journal= {arXiv preprint arXiv:2302.10556},
  year   = {2023}
}