English

Additive codes from linear codes

Information Theory 2025-06-05 v1 Combinatorics math.IT

Abstract

We introduce two constructions of additive codes over finite fields. Both constructions start with a linear code over a field with qq elements and give additive codes over the field with qhq^h elements whose minimum distance is demonstrably good.

Keywords

Cite

@article{arxiv.2506.03805,
  title  = {Additive codes from linear codes},
  author = {Simeon Ball and Tabriz Popatia},
  journal= {arXiv preprint arXiv:2506.03805},
  year   = {2025}
}