English

Toric complete intersection codes

Algebraic Geometry 2015-06-26 v2 Information Theory math.IT

Abstract

In this paper we give lower bounds for the minimum distance of evaluation codes constructed from complete intersections in toric varieties. This generalizes the results of Gold-Little-Schenck and Ballico-Fontanari who considered evaluation codes on complete intersections in the projective space.

Keywords

Cite

@article{arxiv.1111.0356,
  title  = {Toric complete intersection codes},
  author = {Ivan Soprunov},
  journal= {arXiv preprint arXiv:1111.0356},
  year   = {2015}
}

Comments

14 pages, 2 figures. Minor changes, simpler proofs, new examples

R2 v1 2026-06-21T19:29:24.649Z