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SIAMDM
2010

Bringing Toric Codes to the Next Dimension

13 years 9 months ago
Bringing Toric Codes to the Next Dimension
This paper is concerned with the minimum distance computation for higher dimensional toric codes defined by lattice polytopes in Rn . We show that the minimum distance is multiplicative with respect to taking the product of polytopes, and behaves in a simple way when one builds a k-dilate of a pyramid over a polytope. This allows us to construct a large class of examples of higher dimensional toric codes where we can compute the minimum distance explicitly.
Ivan Soprunov, Jenya Soprunova
Added 30 Jan 2011
Updated 30 Jan 2011
Type Journal
Year 2010
Where SIAMDM
Authors Ivan Soprunov, Jenya Soprunova
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