"Toric Surface Codes and Minkowski Length of Polygons" by Ivan Soprunov and Jenya Soprunova
 

Document Type

Article

Publication Date

2009

Publication Title

SIAM Journal on Discrete Mathematics

Abstract

In this paper we prove new lower bounds for the minimum distance of a toric surface code CP defined by a convex lattice polygon P⊂R2. The bounds involve a geometric invariant L(P), called the full Minkowski length of P. We also show how to compute L(P) in polynomial time in the number of lattice points in P.

DOI

10.1137/080716554

Version

Publisher's PDF

Volume

23

Issue

1

Included in

Mathematics Commons

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