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 …

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 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 …

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 …

This note presents some new information on how the minimum distance of the generalized
toric code corresponding to a fixed set of integer lattice points S⊂ R 2 varies with the base …

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 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 …

The Order Bound for Toric Codes Page 1 The Order Bound for Toric Codes Peter Beelen and
Diego Ruano ⋆ DTU-Mathematics, Technical University of Denmark, Matematiktorvet, Building …

In this paper we construct evaluation codes on zero-dimensional complete intersections in
toric varieties and give lower bounds for their minimum distance. This generalizes the results …

In this paper we define the evaluation codes associated to some specific matrices which are
related to toric varieties. We compute the main parameters of these codes: the length, the …