English

Locally Recoverable codes from rational maps

Information Theory 2017-06-02 v2 math.IT

Abstract

We give a method to construct Locally Recoverable Error-Correcting codes. This method is based on the use of rational maps between affine spaces. The recovery of erasures is carried out by Lagrangian interpolation in general and simply by one addition in some good cases.

Keywords

Cite

@article{arxiv.1606.09073,
  title  = {Locally Recoverable codes from rational maps},
  author = {Carlos Munuera and Wanderson Tenório},
  journal= {arXiv preprint arXiv:1606.09073},
  year   = {2017}
}

Comments

19 pages

R2 v1 2026-06-22T14:38:20.431Z