Toric surface codes and Minkowski length of polygons
Algebraic Geometry
2015-06-26 v1 Combinatorics
Abstract
In this paper we prove new lower bounds for the minimum distance of a toric surface code defined by a convex lattice polygon P. The bounds involve a geometric invariant L(P), called the full Minkowski length of P which can be easily computed for any given P.
Keywords
Cite
@article{arxiv.0802.2088,
title = {Toric surface codes and Minkowski length of polygons},
author = {Ivan Soprunov and Evgenia Soprunova},
journal= {arXiv preprint arXiv:0802.2088},
year = {2015}
}
Comments
18 pages, 9 figures