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 note, a class of error-correcting codes is associated to a toric variety defined over a
finite field q, analogous to the class of AG codes associated to a curve. For small q, many of …

We introduce a new wide class of error-correcting codes, called non-split toric codes. These
codes are a natural generalization of toric codes where non-split algebraic tori are taken …

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

In this paper we will compute the main parameters of the parameterized codes arising from
cycles. In the case of odd cycles the corresponding codes are the evaluation 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 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 …

We compute the basic parameters (dimension, length, minimum distance) of affine
evaluation codes defined on a cartesian product of finite sets. Given a sequence of positive …

Toric Codes from Order Polytopes | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Discrete & …