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arXiv · 0905.1056

Bringing Toric Codes to the next dimension

Ivan Soprunov·Evgenia Soprunova
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Abstract

This paper is concerned with the minimum distance computation for higher dimensional toric codes defined by lattice polytopes. 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.

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Ivan Soprunov, Evgenia Soprunova. 2009-05-07. Bringing Toric Codes to the next dimension. https://doi.org/10.1137/090762592

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