English

Any network codes comes from an algebraic curve taking osculating spaces

Algebraic Geometry 2013-06-06 v1 Information Theory math.IT

Abstract

In this note we prove that every network code over Fq\mathbb {F}_q may be realized taking some of the osculating spaces of a smooth projective curve.

Cite

@article{arxiv.1306.0992,
  title  = {Any network codes comes from an algebraic curve taking osculating spaces},
  author = {Edoardo Ballico},
  journal= {arXiv preprint arXiv:1306.0992},
  year   = {2013}
}

Comments

preprint version; final version on Design, Codes and Cryptography

R2 v1 2026-06-22T00:28:15.526Z