English

Generalized column distances

Information Theory 2022-12-26 v1 math.IT

Abstract

We define a notion of r-generalized column distances for the j-truncation of a convolutional code. Taking the limit as j tends to infinity allows us to define r-generalized column distances of a convolutional code. We establish some properties of these invariants and compare them with other invariants of convolutional codes which appear in the literature.

Cite

@article{arxiv.2212.12265,
  title  = {Generalized column distances},
  author = {Elisa Gorla and Flavio Salizzoni},
  journal= {arXiv preprint arXiv:2212.12265},
  year   = {2022}
}

Comments

13 pages, submitted

R2 v1 2026-06-28T07:50:25.397Z