TORIC SURFACE CODES AND MINKOWSKI LENGTH OF POLYGONS

摘要

In this paper we prove new lower bounds for the minimum distance of a toric surface code C_p defined by a convex lattice polygon P is contained in R~2. 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.