A toric code is an error-correcting code determined by a toric variety or its associated
integral convex polytope. We investigate $4 $-and $5 $-dimensional toric $3 $-fold codes …

A toric code, introduced by Hansen to extend the Reed-Solomon code as a $ k $-
dimensional subspace of $\mathbb {F} _q^ n $, is determined by a toric variety or its …

Toric surface codes are a class of error-correcting codes coming from a lattice polytope
defining a two-dimensional toric variety. Previous authors have mostly completed …

Toric codes are a class of $ m $-dimensional cyclic codes introduced recently by J. Hansen.
They may be defined as evaluation codes obtained from monomials corresponding to …

In 1998, JP Hansen introduced the construction of an error-correcting code over a finite field
[special characters omitted] from a convex integral polytope in [special characters omitted] …

Toric codes, introduced by Hansen, are the natural extensions of Reed–Solomon codes. A
toric code is a k-dimensional subspace of 𝔽 qn determined by a toric variety or its associated …

Tsfasman and Vladut [TV] proposed a general framework of constructing error-correction
codes by using algebraic varieties in their seminal work “Algebraic-Geometry Codes” …

We call a polytope terraced if upon projecting onto a one-dimensional coordinate space,
each fiber of the projection is contained in the fiber below it. We present a technique to …

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This paper is concerned with the minimum distance computation for higher dimensional toric
codes defined by lattice polytopes in R^n. We show that the minimum distance is …