English

Near-MDS codes from elliptic curves

Combinatorics 2021-06-01 v2

Abstract

We provide a new construction of [n,9,n9]q[n,9,n-9]_q near-MDS codes arising from elliptic curves with nn Fq{\mathbb F}_q-rational points. Furthermore we show that in some cases these codes cannot be extended to longer near-MDS codes.

Keywords

Cite

@article{arxiv.2009.05623,
  title  = {Near-MDS codes from elliptic curves},
  author = {Angela Aguglia and Luca Giuzzi and Angelo Sonnino},
  journal= {arXiv preprint arXiv:2009.05623},
  year   = {2021}
}

Comments

post-review version

R2 v1 2026-06-23T18:28:59.891Z