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 …

Toric codes are a class of m-dimensional cyclic codes introduced recently by Hansen
(Coding theory, cryptography and related areas (Guanajuato, 1998), pp 132–142, Springer …

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 …

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

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 …

In this paper we discuss combinatorial questions about lattice polytopes motivated by recent
results on minimum distance estimation for toric codes. We also include a new inductive …

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 are obtained by evaluating rational functions of a nonsingular toric variety at the
algebraic torus. One can extend toric codes to the so-called generalized toric codes. This …

Toric codes are evaluation codes obtained from an integral convex polytope P⊂\mathbbR^n
and finite field \mathbbF_q. They are, in a sense, a natural extension of Reed–Solomon …

This work is a natural continuation of our previous work [14]. In this paper, we give a
complete classification of toric surface codes of dimension equal to 6, except a special pair …