Toric surface codes and Minkowski length of polygons

Details Toric surface codes and Minkowski length of polygons Toric surface codes and Minkowski length of polygons

2008-02-14

arxiv.org/abs/0802.2088v1

SIAM J. Discrete Math. 23, Issue 1, (2009) pp. 384-400

Mathematics

Algebraic Geometry

18 pages, 9 figures

Scientific paper

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.

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